文档介绍：North-Holland Mathematical Library
BoardofAdvisory Editors:
M. Artin, H. Bass, J. Eells, W. Feit, P. J. Freyd, F. W. Gehring,
H. Halberstam, L. V. HOQIlander, J. H. B. Kemperman, H. A.
Lauwerier, W. A. J. Luxemburg, F. P. Peterson, I. M. Singer and
A. C. Zaanen
VOLUME 38
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NORTH-HOLLAND
AMSTERDAM· NEW YORK· OXFORD· TOKYO
Theoryof
Linear Operations
English translation by
EJELLETT
London, United Kingdom
N·H
CP~C
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1987
NORTH-HOLLAND
AMSTERDAM· NEWYORK . OXFORD ·TOKYO
***@.,1987
All rights reserved. Nopart ofthis publication may be reproduced, stored in a retrieval system,
ortransmitted, in any form orby any means, electronic, mechanical, photocopying, recording or
otherwise, without the priorpermission ofthe copyright owner.
ISBN: 0 444 70184 2
This volume is atranslation of:
Theorie des Operations Lineaires
***@PWN-PanstwoweWydawnictwoNaukowe,Warsaw, Poland, 1979
and ments' by
A. Pelczynski and Cz. Bessaga
underthetitle
.'SomeAspects ofthe PresentTheoryofBanachSpaces'
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. Box 1991
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v
Preface
The theory of operators, created by V. Volterra, has as its
object the study of functions defined on infinite-dimensional spaces.
This theory has rated several highly important areas of
mathematics in an essential way: suffice it to recall that the
theory of integral equations and the calculus of variations are
included as special cases within the main areas of the general
theory of operators. In this theory the methods of classical mathem•
atics are seen bine with modern methods in a remarkably effec•
tive and quite harmonious way. The theory often makes possible
altogether unforeseen interpretations of the theorems of set theory
or topology. Thus, for e