Topics in Banach Space Theory
Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) a...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York,
2006.
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Σειρά: | Graduate Texts in Mathematics,
233 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Bases and Basic Sequences
- The Classical Sequence Spaces
- Special Types of Bases
- Banach Spaces of Continuous Functions
- L1(?)-Spaces and C(K)-Spaces
- The Lp-Spaces for 1 ? p < ?
- Factorization Theory
- Absolutely Summing Operators
- Perfectly Homogeneous Bases and Their Applications
- ?p-Subspaces of Banach Spaces
- Finite Representability of ?p-Spaces
- An Introduction to Local Theory
- Important Examples of Banach Spaces.