An Introduction to Banach Space Theory

Front Cover
Springer Science & Business Media, Oct 9, 1998 - Mathematics - 596 pages
Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.
 

What people are saying - Write a review

User Review - Flag as inappropriate

send the book

Contents

II
1
III
8
IV
17
V
24
VI
35
VII
41
VIII
49
IX
59
XXVI
305
XXVII
319
XXVIII
335
XXIX
344
XXXI
344
XXXII
362
XXXIII
380
XXXIV
393

X
109
XI
115
XII
137
XIII
138
XIV
161
XV
185
XVI
203
XVII
211
XVIII
223
XIX
235
XX
245
XXI
256
XXII
264
XXIII
270
XXIV
283
XXV
295
XXXV
403
XXXVI
417
XXXVII
418
XXXVIII
433
XXXIX
451
XL
471
XLI
485
XLII
496
XLIII
509
XLIV
513
XLVI
519
XLVII
531
XLIX
537
L
555
LI
559
Copyright

Other editions - View all

Common terms and phrases

References to this book

Bibliographic information