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A Short Course on Banach Space Theory

N.L. Carothers
Publisher: 
Cambridge University Press
Publication Date: 
2005
Number of Pages: 
184
Format: 
Paperback
Series: 
London Mathematical Society Student Texts 64
Price: 
32.99
ISBN: 
0-521-60372-2
Category: 
Textbook
We do not plan to review this book.
Preface page xi
1 Classical Banach Spaces 1
The Sequence Spaces p and c0 1
Finite-Dimensional Spaces 2
The L p Spaces 3
The C(K) Spaces 4
Hilbert Space 6
Neoclassical" Spaces 7
The Big Questions 7
Notes and Remarks 9
Exercises 9
2 Preliminaries 11
Continuous Linear Operators 11
Finite-Dimensional Spaces 12
Continuous Linear Functionals 13
Adjoints 15
Projections 16
Quotients 17
A Curious Application 20
Notes and Remarks 20
Exercises 20
3 Bases in Banach Spaces 24
Schauder's Basis for C[0

Dummy View - NOT TO BE DELETED