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 co and lp
a. Projections in co 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 Co and lp and the Approximation Property, Complementably Universal Spaces
e. Banach Spaces Containing Iv or co
f. Extension and Lifting Properties, Automorphisms of loo, co and lx
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 Ip lr
e. Lorentz Sequence Spaces
References
Subject Index
