Wortal Stefana Banacha

Some aspects of the present theory of Banach spaces

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Aleksander Pełczyński

in collaboration with Czesław Bessaga

published by the Mathematical Institute of the Polish Academy of Sciences

in STEFAN BANACH OEUVRES

(volume II, PWN, Warszawa 1979)

Introduction
Notation and terminology
Chapter 1.
§ 1. Reflexive and weakly compactly generated Banach spaces. Related counterexamples
Chapter II. Local properties of Banach spaces
§ 2. The Banach-Mazur distance and projection constants
§ 3. Local representability of Banach spaces
§ 4. The moduli of convexity and smoothness; super-reflexive Banach spaces. Unconditionally convergent series
Chapter III. The approximation property and bases
§ 5. The approximation property
§ 6. The bounded approximation property
§ 7. Bases and their relation to the approximation property
§ 8. Unconditional bases
Chapter IV.
§ 9. Characterizations of Hilbert spaces in the class of Banach spaces
Chapter V. Classical Banach spaces
§ 10. The isometric theory of classical Banach spaces
§ 11. The isomorphic theory of 3Îp spaces
§ 12. The isomorphic structure of the spaces L"(u)
Chapter VI.
§ 13. The topological structure of linear metric spaces
§ 14. Added in proof
Bibliography
Additional bibliography

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