文档介绍：INTRODUCTION TO BANACH SPACES
AND GEOMETRY
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NORTH-HOLLAND
MATHEMATICS STUDIES 68
Notas de Matematica (86)
Editor: Leopoldo Nachbin
Universidade federal do Rio de Janeiro
and University of Rochester
Introduction to Banach Spaces
and their Geometry
BERNARD BEAUZAMY
Departement de Mathematiques
Universite de L yon I
Villeurbanne, France
1982
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Lihlar? of I'ongrrss Calalogirg ill Publication Data
Beauzamy, Bernard, 1949-
Introduction to Banach spaces and their
geometry.
(North-Holla?d mathematics studies ; 68)
(Notas de matematica ; 86)
Bibliography: p.
Includes index.
.I. Banach spaces. I. Title. 11. Series.
111. Series: Notas de matematica (Amsterdam,
Netherlands) ; 86.
no. 86 [] 510s [*32] 82-6463
ISBN 0--4 (Elsevierscience) AACR2
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INTRODUCTION
The study of Banach Spaces for themselves is a rather recent idea, since
this branch of Functional Analysis came up, roughly speaking, after the work
of S. Banach himself, in the 1930's. Soon, Banach Spaces Theory, as it is
now called, received a quick development, considering the number of people
working in this area, as well as the importance of the results they obtai-
ned. In some sense, it may appear as the natural continuation of the study
of locally convex spaces, which culminated in the y