Joram Lindenstraus | Lior Tzafriri • Classical Banach Spaces

Artikelnummer: 3540064087
ISBN: 3540064087
Kategorie: Bücher

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Joram Lindenstraus | Lior Tzafriri • Classical Banach Spaces

Table of contents
Part I.
a. Existence of Bases and Examples - Pages 1-7
b. Schauder Bases and Duality - Pages 7-14
c. Unconditional Bases - Pages 15-24
d. Examples of Spaces Without an Unconditional Basis - Pages 24-29
e. Tue Approximation Property - Pages 29-42
f. Biorthogonal Systems - Pages 42-47
g. Schauder Decompositions - Pages 47-52
Part II.
a. Projections in c0 and IP and Characterizations of these Spaces - Pages 53-63
b. Absolutely Summing Operators and Uniqueness of Unconditional Bases - Pages 63-75
c. Fredholm Operators, Strictly Singular Operators and Complemented Subspaces of lp ⊕lr - Pages 75-84
d. Subspaces of c0 and lp and the Approximation Property, Complementably Universal Spaces - Pages 84-95
e. Banach Spaces Containing lp or c0 - Pages 95-104
f. Extension and Lifting Properties, Automorphisms of l∞, c0 and c1 - Pages 104-112
a. Properties of Symmetrie Bases, Examples and Special Block Bases - Pages 113-123
b. Subspaces of Spaces with a Symmetrie Basis - Pages 123-136
a. Subspaces of Orlicz Sequence Spaces which have a Symmetrie Basis - Pages 137-146
b. Duality and Complemented Subspaces - Pages 147-156
c. Examples of Orlicz Sequence Spaces- Pages 156-166
d. Modular Sequence Spaces and Subspaces of lp ⊕ lr - Pages 166-175