Author | Lindenstrauss, Joram. author |
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Title | Classical Banach Spaces I [electronic resource] : Sequence Spaces / by Joram Lindenstrauss, Lior Tzafriri |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1977 |
Connect to | http://dx.doi.org/10.1007/978-3-642-66557-8 |
Descript | XIV, 190 p. online resource |
1. Schauder Bases -- a. Existence of Bases and Examples -- b. Schauder Bases and Duality -- c. Unconditional Bases -- d. Examples of Spaces Without an Unconditional Basis -- e. The Approximation Property -- f. Biorthogonal Systems -- g. Schauder Decompositions -- 2. The Spaces c0 and lp -- a. Projections in c0 and lp and Characterizations of these Spaces -- b. Absolutely Summing Operators and Uniqueness of Unconditional Bases -- c. Fredholm Operators, Strictly Singular Operators and Complemented Subspaces of lp? lr -- d. Subspaces of c0 and lp and the Approximation Property, Complement-ably Universal Spaces -- e. Banach Spaces Containing lp or c0. -- f. Extension and Lifting Properties, Automorphisms of l?c0 and l1 -- 3. Symmetric Bases -- a. Properties of Symmetric Bases, Examples and Special Block Bases -- b. Subspaces of Spaces with a Symmetric Basis -- 4. Orlicz Sequence Spaces -- a. Subspaces of Orlicz Sequence Spaces which have a Symmetric Basis -- b. Duality and Complemented Subspaces -- c. Examples of Orlicz Sequence Spaces -- d. Modular Sequence Spaces and Subspaces of lp? lr -- e. Lorentz Sequence Spaces -- References