Hilbert Spaces with Applications 3rd ed - L. Debnath, P. Mikusinski (Elsevier, 2005) WW.pdf

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Hilbert Spaces with Applications
Lokenath Debnath and Piotr Mikusinski´
Hilbert Spaces
with
Applications
Third Edition
Lokenath Debnath
University of Texas—Pan American
Piotr Mikusinski´
University of Central Florida
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ISBN 13: 978-0-12-2084386
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This book is dedicated to the memory of our fathers:
JOGESH CHANDRA DEBNATH and JAN MIKUSINSKI´
Contents
Preface to the Third Edition xi
Preface to the Second Edition xiii
Preface to the First Edition xv
CHAPTER 1 Normed Vector Spaces 1
Introduction 1
Vector Spaces 2
Normed Spaces 8
Banach Spaces 19
1.