Absolutely Summing Operators
Seiten
1995
Cambridge University Press (Verlag)
978-0-521-43168-2 (ISBN)
Cambridge University Press (Verlag)
978-0-521-43168-2 (ISBN)
This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. There are detailed expositions of the core results and highly non-trivial applications, for example to harmonic analysis, probability and measure theory and operator theory.
Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly non-trivial applications to, for example, harmonic analysis, probability and measure theory, and operator theory. Graduate students and researchers from real, complex and functional analysis, and probability theory will benefit from this account.
Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly non-trivial applications to, for example, harmonic analysis, probability and measure theory, and operator theory. Graduate students and researchers from real, complex and functional analysis, and probability theory will benefit from this account.
Introduction; 1. Unconditioned and absolute summability in Banach spaces; 2. Fundamentals of p-summing operators; 3. Summing operators on Cp-spaces; 4. Operators on Hilbert spaces and summing operators; 5. p-Integral operators; 6. Trace duality; 7. 2-Factorable operators; 8. Ultraproducts and local reflexivity; 9. p-Factorable operators; 10. (q, p)-Summing operators; 11. Type and cotype: the basics; 12. Randomised series and almost summing operators; 13. K-Convexity and B-convexity; 14. Spaces with finite cotype; 15. Weakly compact operators on C(K)-spaces; 16. Type and cotype in Banach lattices; 17. Local unconditionality; 18. Summing algebras; 19. Dvoretzky's theorem and factorization of operators; References; Indexes.
| Erscheint lt. Verlag | 27.4.1995 |
|---|---|
| Reihe/Serie | Cambridge Studies in Advanced Mathematics |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 157 x 235 mm |
| Gewicht | 800 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-521-43168-9 / 0521431689 |
| ISBN-13 | 978-0-521-43168-2 / 9780521431682 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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