AMERICAN MATHEMATICA L SOCIET Y TRANSLATIONS

Ser ies 2

V o l u m e 9 7

ELEVEN PAPER S O N LOGIC , ALGEBRA ,

ANALYSIS AN D TOPOLOG Y

B. M. Budak I. U. Bronstem E. P. Dolzenko I.C.Gohberg M. G. Krein

by

0. N. Macedonskaj a Ju. S. Maslov A. N. Sarkovskii Ju. L. Smurja n M. S. Stavskii

Published by the

AMERICAN MATHEMATICA L SOCIET Y Providence, Rhode Island

1971

http://dx.doi.org/10.1090/trans2/097

Copyright © 197 1 by th e American Mathematica l Societ y

Library o f Congress Catalo g Numbe r A51-555 9 International Standar d Boo k Numbe r 0-8218-1797- 3

Printed i n the United State s o f Americ a All Rights Reserved

No portion of this book may be reproduced without the written permission of the publisher

TABLE OF CONTENTS

Page

Maslov, S . Ju . O n E. L . P o s t ' s " T a g " problem. [MacjIOB , C . K). 0 ,,Tag"-npo6jieM e 3 . Jl. lloCTa. ] Trud y Mat . Inst. Steklov . 72 (1964) , 57-6 8 .,. 1

Macedonskaja, O . N. O n neutra l polyverba l operations . [MaijeAOHCKaH , 0. H . 0 HewTpajibHbi x nojMBep6ajibHbi x onepaijuflx. ] Mat . Sb . 69(111) (1966) , 286-29 9 1 5

Dolzenko, E . P . O n the remova l o f singularit ie s o f analyti c functions .

[flojDKeHKO, E . Jl . 0 „CTnpaHnw " oco6eHHOCTew aHajiwTn ecKM X 4)yHKqwM.] Uspeh i Mat . Nauk 1 8 (1963), no . 4 , (112) , 135-14 2 3 3

Stavskii , M . S. Entir e function s bounde d i n a locall y compac t non-archimedeanly norme d field . [CTaBCKHM , M . III. IJeJIbi e CJtyHK -LJMJ1, OrpaHMMeHHbi e B JlOKajlbH O KOMnaKTHO M HeapXHMeAOBCK M

HOpMwpOBaHHOM nOJie. ] Izv . Akad. Nau k SSS R Ser . Mat. 30 (1966) , 657-670 4 3

Gohberg, I . C . O n a generalizatio n o f th e theorem s o f Wiener-Lev y type o f M . G. Krein . [Tox6epr , M . IJ,. 0 6 OAHO M o5o6meHM W Te o peM M . r. Kpewn a Tun a Teope M BuHepa-JIeBn. ] Mat . Issle d 1 (1966), no . 1 , 110-13 0 5 9

Krem, M . G. Fundamenta l aspec t s o f th e representatio n theor y o£ Hermitian operator s wit h deficienc y inde x (m , m). [KpeMH , M . V. OcHOBHbie nojio>KeHHf l Teopw n npeACTaBJieHU H spMWTOBbi x onepa -TOpOB c MHAeKCO M Ae^eKT a (m , m).] Ukrai n Mat . Z. 1 (1949), 3 -66 7 5

Smul jan , Ju . L. /-majorizin g an d modular operator s i n / - spaces . [UlMyjibHH, K) . Jl. /-Ma>KopMpyK)[AM e w MOAyJiapHwe oneparopb i B /-npocTpaHCTBax. ] Mat . Issled . 3 (1968) , no . 1 (7), 198-21 4 14 5

Sarkovskii, A . N. A classification o f fixe d points . LUlapKOBCKHM , A . H . 0 6 OAHO M KJiaCCJKjMKaiJM M HenOABW>KHbI X T O ^ e K . ] U k r a i n .

Mat. Z . 1 7 (1965), no . 5 , 80 -9 5 15 9

Budak, B . M. Th e concep t o f motio n i n a generalize d dynamica l sys -tem. [ByAaK , B . M. IloHaTw e ABPDKGHM H B o6o6meHHof t AWHaMti -eCKOM CMCTeMe. ] Moskov . Gos . Univ. Uc . Zap. 155 Matematik a

5 (1952) , 174-19 4 18 1

Page

Bronstein, I . U . O n dynamica l system s withou t uniquenes s a s semi -groups o f non-singlevalue d mapping s o f a topologica l space . [BpoHiuTewH, M . y . 0 AMHaMwqecKM x cucyreMa x 6e 3 eflHMCTBeH -HOCTH Ka K nojiyrpynna x HeoAH03HaqHbi x OTo6pa>KeHi4 M TonoJiorw -qecKoro npocTpaHCTBa. ] Izv . Akad . Nau k Moldavsko i SS R 1 (1963), 3 -1 7 20 5

Sarkovskii, A . N . Behavio r o f a mappin g i n th e neighborhoo d o f a n a t t r a c t i n g s e t . [MapKOBCKUM , A . H . IlOBeAeHH e 0T06pa>KeHM H

B OKpeCTHOCT M npHTHrHBatolljer O MHO>KeCTBa. ] Ukrain e Mat . Z .

18 (1966) , no . 2 , 6 0 - 8 3 22 7

IV