RODZIEWICZ, Helena; MITUPSKA, Manh; M--liAll~-KA, :-tme.
interraTted method-' of tt.f-rary " a,-Irl
Pol. tyg. lek. 19 no..,~4trol;- 414 R ~'e
1. Z KlIniki F.9rmat,)In~7lcznc-.j kkaflprrj~ M"elyczrie, a '-ub' '-lip
(kierownik: doc. dr Tv~d, Romhn Ml-nalowskl',.
N inzhener.
R
Pield for road testing automobiles. Ayt. dor. 20 no.2:22-23 y '57.
(AutomoblieR-Testing) (KLIA 10:4)
MITURSKITY, Sergey Nikolayevich; BRONSHTIMN, L.A., kand, tekhr..
I
nauk, retsenzenL; ALEKSE!EV, A.F., red.
[Building expendituree In automotive transportatiori;
consolidated indiceaj Stroitellrqe raskhody na av-,o-
dorozhnom transports; ukrupnemye poXazatel~. Mo.4va,
Avtotransi zdat, 1963. 1UO ~- WlftA I F: ~', '
MITMIZYNSKL, Henr7k&
ficiency of the anterior pituitary in zaltiple mwelowa. Pol. tyg.
Isk. 17 no.6s224,426 5 Y '62.
1. Z I Kliniki Chorob Wevnetrsnych AM v Lubliniel kierownik: prof. dr
md. Klecsyslaw Kedra.
(MMaKAPIASKA CELL compl)
(PITUITARY GLAND ANTERIOR die)
MITURZYN,SKA, Henryka; RUPNIEWSKA, Zofia
The picture of the peripheral blo(A rind bone marrov in chronic cardio-
pubsonary syndrome. Pol. tyg. lak. 17 no.20:787-792 14 MY '62.
1. Z I Kliniki Ghorob Wevnetrznych AM v Uiblinie; kierownik: prof. dr
mod. M. Kedra.
(PUIXONARY HEART DISEASE blood)
(BLOOD CEL1,S)
61
MTT',TFPfN ',." V,: nryka
~Ijn! - ,, evaiuat.!on of thu preparatl -)r iklerlt. POls ',Yf- lek.
]~, ,^.L~914-91~ P- .10 164.
1. -' ' KlIniki GhnrobWewn. AkademV ~A-4yrzreJ -4 ~,ulhl'nle
prof. dr med. Miecayslav '.Prr, .-
r.,i eff
I
rr
%L17", 'Y
Air p:
i-,Yv. IeK.
I . Z T Fl
K i i k
MITUS, I.P.. inzh.
Staring shaft sinking overRtions with halD of P crane. Shpkht.
strol. no.12:29-30 D '5?. (KIRA 11:1)
(ShAft sinking-Equinment nnd sumlies)
_1 -4
- I "~ ' !'.' 'jC; - -
- - -, ~ 1~ I . , ~ ~ X, 1 ~7'
-~ --l ;~'~ - ~- ~~l
MITUS, I.P., lnzh.; BACHKOVSKIY, V.I., lnzh.
Mine cage for multirope holsting. Gor. zhur. no.Ilt42-44 H 164.
(MTRA 18t2)
1. Institut Krivbaasproyekt.
MITUS, I.P., inzh.; FILIN. V.V.p inzh.
Conversion of pil6-driver pulleys to rolling friction be&ringB. Gor.
zhur. no.3s49-51 14r 160. (MIRA 14:5)
1. Krivbassproyekt
(Pulleys)
-'ILIN, V.V., inzli.; MITUS, I.P., inzli.; HA(;IiKOV)'KIY, V.I. , lnz~ .
Production potentlals Of 3kP hC-.3tfs in m`nes Pf ~,lie Kr~v-
Rog Basin. Gor. zhur. no.2:4P-52 F162. (?4iV
1. Trest po proyektirovaniyu zhplezorudnykh predpryat!y
Krivorozl,,skogo basseyna, Krivoy Rog.
MITIJS' I.P., insh.; FILIN, V.V., inzh.
Suspension devicew of cages of a multicable hoist for freight
&nd workers. Bevap truda v prom. 7 no. 4:24 Ap t163.
,MIRA 16:4)
1. Trest po proyektirovaniy-u zhelazorudnykh predpriyatiy
Krivorozhokogo bassaym.
(Mine hoisting)
MITUS, Jan
New achievements of the Research Establishments at the Chemical WorkB
in Oswiecim. Przem chem 41 no.3:164-165 Kr 162.
, .... -. M ~ , ,:,'* -"- ~,
M~-l I[a I
TOKARZIEWSKAX M.; JABLOIZKA, J.; JANIK, A.; IUTUS, J.
Effects of cert&in paramr Wrs on the properties of concentrated
tolutions of polyv-inyl alcohol. Polimery tworz vialk 8 no,3:103-
105 Mr 163.
1. Zaklad Naukowo-Badawczy, Zaklady Chemiczne, Oswiecim.
TCKARZEWSKA, Maria; JABWISKA, jadwiga; PIMIEWICZ, Halina; MITUS, Jan.
Hydrolysis of high-molecular pnlyvinyl acetates to polyviryl
alcohols containing less the 1 peramit acetyl groups. Polimery
tworz wiel 8 no.12&46?-469 D163.
1. Zaklady Chemlczne, Oswlectm.
MITUS, Jan
Effect of steam on calciwm carbide under high temperatur-is.
Przem chem 42 n,,.6:326-327 Je 163.
1. Zaklad Naukowo-Badawczy, Zaklady Ghemiczne, 0swiecim.
ar
Erwin; '41TU
rt i c pa t C, f
p wlelk
A method -,f es~ab olireTy tw,)rz -
~, - ympr
"M Pon en t s
56 A ~,eM.. -,Y. s Is we C
I C, A Pri
i.
,Udks~ragrp IWI MajZjoMi, ftmwisxskp
JAMo, ~V
saimuric Resewmh Do"., Owissin am"cal Plmits (Zdd4A
- A-&W*43&dswjW' Zaklao CbMIG~ Omleets) - (for all)
Wwomwo Chad& &D&Jjtyc~ No 3f NNW-Jume 1966v PP "S-601
.17,
I"--
4jq"jgLJM$JM of *AW 441IT41"*AAW& Ot 6YI~*-
L"-Oowl mvi"Irylate 0"913u9"04
NIVS. Tu.T. (Terms)
PenicillIn therapy of cervical erosion. Soy. md. 18 no.7:39-40
ii 10. MU 7:8)
(CIRVIII UTJRM, diseases
*erosion, ther., T_mnIcIllIn)
(PMCILLIN. therapeutic use
$cervix, uterine erosion)
04,
if
,jr,
*M32j,.Lj6V"nzhener; KMOZOT. I.0., kandidat takhnichookikh nauk-,
YASINSKIT, K.I.. inshener.
Some unused resources of roadway machinery stations. Pat' i put.
khoz. no.5:31 Vq 157. (xLBA lotO
(Railroads-Vaintenance and ropair)
MITUSOVI To.
A plant for porous clay filler material. Strol. mat., txdel. I
ivonstr. 2 no.8:22-23 Ag 156. NLRA 9:10)
1. Direktor BookudnikovskoV kirpichnogo savoda Wo. 1.
(Building materials Industry)
- - ------- 1--.---------L.M E ag--P~ --
-
MITUSOVA. N. M --
efficiency of equipment for the removal of fat from bo-As.
Mias. ind. SSSR 29 no.2:43-44 '58. (KIRA 11:5)
l.Vsesoywny7 nauch-no-iseledovatellskiv Institut myasnoy
promyshlennouti.
(Packing houses-Rquipment and suppliee)
GOROW,ITSKIY, S.1e., kand.ekoo.aauk; UVINA, L.I., starshiy nauchayy
sot rutiniki -14ITUSOTA, U.K., starshiy aauchnyy sotrudnik; K-UITA,
L.A.. mLadoniy nai chna, sotrudni1c; 141M.LICHI, Tu.K..
nauchnyy ootrudaik; SRUWIW(, Tu.bh.. mladshiy nauchnyy sotrudalk
Jetermining the extent of mechanization in the standards of
manual Libor governing the enterpribes of the meat industry.
Trudy VNII14P no.9:158-164 '59. (MIRA 1):8)
(Heat industry-lquipment and supplies)
M - TU6 k ! "A IN ., M . ~ a L a r 5 if ' / '. F I ' ' ' I V v ~ ' ' % i 1 r~ ~ -
K,~ r n, ~ ui~ - 0 r ! - , I r, ./ - , . . ". - !, C~ , I , ., ""r ,-r! !-" ~ 1. , , 1~
I , , *~ , : v
1 ~ , 1 : , - ". ~, 1, , . -~, r~ . , , -
'g, alleh "f-7 , r, v .1 r. . .1 ~~ " . . ~~il . . ~ "'! y
~62 ','0 'r)2 . :M'T4A --" -
GERGELY, Janos; Gy.MITUSZOVA, Ludmilla
Albumin retention of the liver under the effect of hyperoncotic
olution. Biol orv kotl KTA 11 no.2/3:253-256 160. (EW 10:5)
7
A, Budapeati, Orvostudowanyi Egyetem III. Bolklinikaja.
(LIVER)
(ALBUMINS)
GERGELY, Janos; JAXAB, LaJ03; MITUSZOVA Mila- SZINAY, Gyula; ZULIK, Robert
--- --- -j ~ -~�"
Studies on beta-myeloma proteinn with special reference tr, their r--nt,'-
genic properties. Magy. belorv. arch. 14 no.5:177-181 0 16.L.
1. A Budapesti Orvostudomanyi Egyetem III sz. Belklinikajanak kozlemen7e
(mb. tanszekvezeto. Gero Sandor)
(MYEZ&A imnunol) (ANTIGENS) (PROTEINS chem)
(ELECTROPHORESIS)
IIITUZAS, G. S. Cand Med or7i -- (qiss) "Effect of extrncts oi lympnoid
------
orgnns uc-on the formtion of antit-odies." Kmunas, 19~%7. 16 pj wit!~ Irpphs
(Min of Health Lithuanian 6-~R. Kaunas Me,! Insti, 2-) co-ies (it.L. "u)
_72-
GINKENE, M.M.; MITUZAS, G.S., kand.med.nauk
Single visit treatment of pulpitis vith Zaslavskil's so-called
biological paste. Stomatologiia 41 no.4:8344 Jl-Ag 162.
(MIRA 15:9)
1. Iz Kaunaeskoy respublikanskoy klinicheakoy bollnitsy,
stom,atologicheakay polikliniki i kixfedry farmakologii Kaunasskogr
meditsinskogo instituta.
(GUMS-DISEASES) (BIOLOGICAL PRODUCTS)
- ~Iilxat,
4V
Mp
77~-, -JUG3. mix z4-dk,~` uy 1=01f,mn efir
-JU x of],
a wt,
VIKULOV B. Inzh.; MITYAGIN As (Myt-iahin, A.), inzh.
Device for stacking clay ribbon tile on the Sl."665 drying frame. BW.
mat. i konstr. 4 no.1:60-.62 Ja~? 1t2. OaRA. 15:7)
(Tiles-Drying)
~p 5
VIKULOV, B.A., inzh.; IAITYAGIN, A.A., inah.
Device for laying strips of tile on 41-665 drying frams. Stml.
i dor. mash. 8 no.2:31-32 F 163. ' (KRA 16:3)
(Tilee, Roofing)
TIT
r n Y e A
Nr, r m i y se m -r -, ~na I Tv, o 'rne a j- P ac e
j,, -';unncm pru3~ransve)
i I L C A L - r k h i -,at e m a: he ~s k i k n nau k . 19 1, 8 , Vcj i
AESTRACT; Let (P "I ly normed space 11 2], let P
of w, h respec' tc, tne p th riorm- Let 00
n (~
P
P=!
the spa(-e conjugate tc) (P Every linear con tir,uous functional
f C=(b* has a finite order, i e. for a certa in p it holds f(- CP
To every f tnere exists I-Lm 11f The authors
P
P --> 00
.nvegtigate tn,~ question Viven !,y 6hilov,9. E When tnis bo-.1ndary
value equals zero (or is unequal to zero) 9 It is asserte,j t~.b~
this depends on the fact how the norm syste m in ~ is chosen from
the olass of the equivaler'.t norm systems wn i(h define the same
topolofiry -.n
Triecrem In a cc,mpiete
Spare q)+nprF- ex)st 3-fstem~ -,f norma
and de I i tl~ ng tne ini tial
, topol ogy and riavi ftg
thc- proper*y the+ for every f CC (P * it holds - C'
'I f 11m 11 f 11
P
Card 112 P -1' 00
AUTHORs SOV/2G- * 2 5-4- 5
TITLEt On the Second Mixed Derivative (0 vtoroy smeshannoy proizvodncy)
PERIODICALs Doklady kkadem'-i nauk SSSR, 1958,V01 123,Nr 4,pp 606-609 (USSR)
AB3TRACTi The present paper was written with the assistance of Professor
G.E.Shilov. The author constructs the example of a continuous
function F(t,B) for which _~LF and -a21? 4- C, b,t -~2F C.
'a t2 ~) 82 '6 Q
For the construction the author use8 a theorem of Fetrini bef 27
and an own lemma. The final result is concentrated In the
following theorem% The space B obtained from the space D cc of
infinitely often differentiable functions by closure with respect
to the norm If I. ma4f(t'.)i 1-2-f- I'l '~f I'l -1~tl '1-3~-f I .
t , a 'a t -a a ^6 t2 1 ~B2
is different from the space D 2 of two times differentiable
functions.
There are 2 references, 1 of which is Soviet, and 1 French.
ASSOCIATION:Moskovskiy gosudarstvennyy universitet imeni M.V.Lomonosova
Card 1/2 (Moscow State University imeni M.V.Lomonosov)
69761 /o36
9/155/59/000/0'/00l
V a t 'aLi_n J_ 'B_ ical Linear 5 aces\
kUT13ORSS To 010 naukil
Quagiinvariant measuree in - FjzikO-M9tematichesk!Ye
TITLE, Nauchnyye dokledy vys,hey shkolY' 1959, No. 2, PP- 5-9
PERIODICILs efined to be a count-
nite measure on the to pological space E is d ned on a 61-algebra
ction 1A, which is defi '/A, 9400 -
TEXT% k f i' e nonnegative real fun rel sets and i+ is 0'4 t' if for
ably additiv .ntains all B, siinvarian
re 7- , i. called qud (i.e. the
of sets in E, whe linear space F able sets of measure
k measure on a topoijgical r x6E themes6sur and sets
arbitrary v8cto measurable sets
a disPlace"ient by an )are transformed into ble linear
sets belonging to 7 ble metriza
sets of measure zero. sional complete Bepara
zero into
Theorem I , in an infinite dimen Jant measure let on Ti
space there exists no quasiinvar for all
OD a Borel subset Of E
Let U E exists no qusgiinvariant
Theorem 2 1.1 jeasure. Then also on E there
exist no quagiinvarignt
measure.
Card 1/2
69761
Quasiinvariant Measures in Topological Linear V155/59/000/02/001/036
Spaces
The reasu-re )4 on F is called quasiinvariant with respect to the group 0,
if g4&G transforms measurable sets into measurable sets and oets of measure
zero into sets of measure zero. The group G is called compactly acting on F,
if a set {9,1 6 G (i - 1,2,...), for which there are two convargent
sequences xi, yi with the property that y, a xig,, is compact in G. Let K6,
denote the sum of countably many compact&.
Theorem 5 t Let P be a complete separable metric epace, G a transitive con-
tinuous transformation group which acts compactly on V. Let the measure,*-
exist on F which is quasiinvariant with respect to G. Then F is of the ty-pe KV
I.M. Gellfand and V.N. Sudakov are mentioned in the paper. The authors thank
D.k. Raykov for adviies. There are 8 referencest 3 Soviet, 2 French, 2
knex~icav and 1 Hungarian.
ASSOCIATIONt Noskovskiy gosudarstyennyy universitet imeni M.V. Lomonosova
(Moscow State University imeni M.V. Lomonosov)
SUBVITTEDs February 24, 1959 L11K
Card 212
MIMAGIN,
A bs-,lU?,e - ~ I '.~ ' ' ' ~ ' ~ I- - -Op! - : , ~' - ..' .
Dokl, 01 , 5-7 r. -, . 4 . ~ , '. - 7 - . . , ' .1 .. f, I r.,,. , .1 - ; I
1. Vororf_-zhsk-, j~ - ' -, - 7. . ',, -_ , 1 11 t~ - , ,
akademikom A.N ., Y."Imour-vir
6'); 1 ("1 J
Ur 0oOA,5,'C 1 VC ,C-
ALI '~"IHOR, Mityagin,
TITLZ; On 2ome Properti-_s u* the, Funct io ns of two Variables
PLi(l(. I,! Ves tnik Mo_-:~Gv~;;r-.060 ur ~ vp I%: I te t a. .~eri,a matematiki,
pp.
TEXT: 1 contains the proo" ~)i the tneorum
.Petri... I
2 ha8 been already announced by the author in (Ref. 3). In � he
US(-z3 he results of iri orier to a classification of real
homogeneous rings of the type ' 1 _see 114 ) on the two-dimensional
torus.
N. Bernshteyn and A. D. Myshkis are mentioned. The author thank..
Ye. Shilov for the subject and advices.
There are 7 references: 5 Soviet, 1 American and 1 French.
AYZIMBXRG, B.S.
Spaces of fUACtiOnB Mal7tic in multiple circular regions. Sib.
mat. zhilx. 1 no.2:153-170 Jl-A9 160. (MINA 13:12.
(Spaces, Generalized)
DYNIN A.; MITI(AGIN, B.
Criterion for nuclearity 9 of approximative dimension.
in te rm.
Bul kc pol mat 8 no.8-535-540 '60-
1. State Jomonosov Univer .1ty, Moscow. Presented bY S. Mazur.
(Functional analYsis)
KOSTYUCET?NKO, A.G.; MITYaGiN, B.S.
Positively defined functionale on icernel ap,ces. Truay Mosk.mat-
ob-va 9:283-316 160. (MIRA 1~1:9)
Vunct~onal analysis)
~ -.1- . - t
.T :~ ~-49r ~71 - -- ~-, .1 --- 1,
MITYAGIN, B.B.
pace. Tnidy Mosk-mal-
Lernel aad othe r properties Of tYP~ kKIRA lj:9)
ob-va 9:317-328 o6o.
(bpaces, Generalized) (Functional analysis)
603
Ceg %'IV
ST
ne 'Le
n k"ne coo'?
0 'On'
6U 'De q.T V.e
Q
Y.0 R "Ce, -4 T'
I . C*j - . 1 9,
e>~' -- --- ~~' S5-- -f t'fO , %,
LI u 0 t TO-, '~)e t C, 0 v nFI
Irv 0
O~" ~' ~11 es5e
~t~ 01 'Col t'- ' I I I -
qi;
0,& 30
'Do 'S'T crj~ C- eo
" ~T~ C'~C t
t % 0,01 J%o, n&eIr ~' I Bill to SP One, 5
a C. SN t \3- get - tne '3 e
01 S reSep- ~'et . C'C~ VOS 11, ent nc
0
to 'on
Ot 'S a'e'rea ot '~Slo
%'Oe er
.re to.
0 1 S' elj~ ge 11~ e 9 et~
te efs "OT '0 ea
r 0 In 'De t'ne
C. O'no" 5 %60
S;" 0 te 'DO
ten ~ P- t
COS9
e IL e 06
01 e, es
OSS 35 0-4 P,T
14
68793
G8.LtL'.'eiY jefined Furictionals on Nuclear Spaces SIO -20 '60/13 1,'0 1 'CC 2)
Is an example the authors investigate in det i1 the r-pr-ppr-
tation of positive definite functionals in S,, (see Ref
Altogether there are given 7 theorems. I.M.Gellfand, Sra
N.Ya. Vilenkin, Ye,B. VUl, S.N. Bernahteyn, and M.G. Kreyn are
mentioned in the paper.
There are 10 references, R of which are Soviet, and 2 ?rench.
AS~30CIA'I'L,Ns Moskovskiy gosudarstvennyy universitet imeni M.V. Lomonosova
(Apacow State University imeni M.V. Lomonosov)
PRFSFNTED: November 10, 1959, by S.L. 3obolev, Academician
SUBMITTEDs November 4, 1959
,~: ard 4, 4
, ~. I a 1 / I
.1.1 -.1
-1
Y Q 7
I
A 9
S,~~ ~U
(4
C~,rd 2/
8007h
Multidimensional Problem of 11Gments
wit.-) the index n., j = 1 . . . , A, i~~ a sequence of the tLipe K. Then
it holds the rep~estintation
k
(7)
mea-ure C- i~~ ~,r~i uel., 'r.W;.
,c)lmo6urov, Ye. i~!,u I e ..r*(,- 1:. t!.-
Vu
.~hLre are 10 re~'ert~-ric*36: i and
"03'- 0 1 ,~ K i a r t v i i t ii A f. V,~ r I L. m C-!, 1 C,:
Nio c 0 vi t LL t L U, V v
r.,Z;cenber V119, lb~ L, '.J'ubulev, A c a,~, e:.-- 1 c i ar,
U i'~ T D: ij e c e m L e r2
Card "j'3
86~103-
I I/ G 0 020J60/1 0!6XX
AUTHORt Mityagin, B.S.
TITLEt Relationship Between the f -Entropy, Approximation qate and
Nucletrity of a Compact in a Linear Space
PERIODICILi Doklady kkademii nauk 3SSR, 1960, Vol. 134, No. 4,
pp. 765 - 768
TEXTs The author considers locally convex real or complex linear iA
\~Otopological spaces.
Let Y-Ve-a linear space, 3 a central-symmetric convex (c.El.c.) 3et in E,
A an arbitrary set in E.
Definition I (see (Ref. 1,5,6)) 1 Let
N
N(A,S ; t inf N % U (xk + ~
XkE 9 1
M(A,S ; sup X I x xj 4 E S ; j k j, 'M
Xk 61 k-
The number H(k,S 6) - log N(A,S is called 6 -entropy of A with
respect to S ; log M(A,S its f -capacity.
Card 1/ 4
86103
3/020/60/134/004/025/0,16XX
C111/C333
Relationship Between the 6 -Entropy, Approximation Rate and Nuclearity of
a Compact in a Linear Space
Definition 2 (see (Ref. 6))t The order J(A,S) of A with respect to 3 is
~(A,S) - lim logH(A,S ;e) log
Definition 3 (see (Ref. 8)) t dn- dn(A,S) - inf r(L,En) iL denoted as n-
dimensional diameter of the met A in the Banach space B with the unit
sphere S, where r(A,E n) - sup inf Ix-yl, and inf is taken over all n-
zC-' yC-En
dimensional subspaces En in B d
Let M(t) . max n i d >1 1 max n 1 -2 >, 1 ~ .
f n t I n t
Theorem 1t In an arbitrary Banach space B it holds for every 1c.s.c.)
compact K I 8(d + 46
I log 0
M( F H(K, S dt
t
Definition 4 (see (Ref. t The compact K in called nuclear relative to
S, if there in a system fi I i - 1,2 ... of linear functionals on L(K)
Card 2/4 1
86403
3/02 60/1 ~4/004/"~?)/0'6XX
C I i IYC333
Relationship Between the -E-Entropy, Approximation Rate and Nuclearity of
a Compact in a Linear Space
OD
and s eyfftemI hip 1,2,... of vectors in B so that'zlf,JK~h,~I
I
holds for all jGK in B. A linear topological space Z is called nuclear, if
for every zero neighborhood U in E there is a neighborhood V nuclear re-
lative to it.
Definition 5 (see (Ref. 1))t Let to every linear opological space E
correspond a class Y (E) of functions which are defined as follows for
> 0 1 Y (E ) C- '-P (E) if
0) V lim N(V'U 0
C -:0. 0 41 (E )
Theorem 2 (nuclearity criterion) i For tne nuclearity of a linear topologic-
al space E it in necessary that exp 6 AC Y (E) for all A > o, and
sufficient that exp 6 _A0 E '-P (E) for a certain A 0> 0.
The autbor mentionst A.K. Kolmogorov, I.M. Gellfand, V.D. Yerokhin ; he
Card 3/4
86403,
SIWOV6011341004102~~,0~6XX
C111/C333
Relationship Between the 6 -Entropy, Approximation Rate and Nuclearity of
a Compact in a Linear Space
thanks M.A. Krannovellskiy, V. Yerokin and V. Tikhomirov.
There are 16 referenc** 1 9 Soviet, 4 Polish and 3 American.
[Abstracter's note i (Ref. 1) in a paper of A.N. Kolmogorov in Doklady
Akad*sii nank 333HO 1958, Vol. 120, 239 ; (Ref. 3) is a book of A.
Groth*ndieck, Memoirs of the imerican Mathematical Society, Vol. 16,1959;
(Ref- 5) is a Paper Of L-N- Kolmogorev in Doklady Akademil nauk SSSR,1956,
Vol 10e, 585 ; (Ref. 6) is a paper of A.N. Kolmogorov and V.M. Tikhomirov
in Uspekhi matematichookikh nauk, 1959, Vol. 14, 2,3 ; (Ref. 8) is a paper
cfA. Kolmogroff in Ann. Math., 1936, Vol. 37, 1071 -
LSSOCILTION: Moskovskiy gosudaretv*nnyy univervitet imeni M.V. Lomonosave
(Moscow State University imeni X.V. Lomonosov)
PRESENTE'Di April 23, 1960, by A.N. Kolpogorov, kcademician
SUBMITTED3 April 20, 1960
Card 4/4
MITYAGIN, B. S.
Cand Phys-Math S01, Dias -_ "On one class Of fUnctional spaces".
Voronezh, 1961. 6 pp, .1 Om (Min Of Higher and Inter Spec Eduo
RUSH. Voronezh State U) 150 Copies, Not for sale (KL,
P 175, No 24259). 51_51i077 No 9, 1961,
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Differential equations with ... 8177/B102
operators with dense domains of definition. Tne following result is valid'
Let the following conditions be satiefieds 'a) the operators
Th4orem 4.
- 1
A1, A (j 2,...,n) are bounded; (b) there is a possible expansion
tA i%n-J A1 ()~' - F 0 (X - F2 ) - - - (2~ - Fn-1) such that Fk (i - 1 , ...,n-1)
are bounded operators with mutually disjoint spectra; (c) Rea(A 1),) 2,-~ 0.
Then if the operator A 1 is bounded, then, for E--),O, jx(t,~~) - z(t) tends
(k)(t,r (k)
to zero unif ormly when 0 < tK T