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Absolutely summing operators

Author: Joe Diestel; Hans Jarchow; Andrew Tonge
Publisher: Cambridge ; New York : Cambridge University Press, 1995.
Series: Cambridge studies in advanced mathematics, 43.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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,  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Joe Diestel; Hans Jarchow; Andrew Tonge
ISBN: 0521431689 9780521431682
OCLC Number: 32166449
Description: xv, 474 pages ; 24 cm.
Contents: 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.
Series Title: Cambridge studies in advanced mathematics, 43.
Responsibility: Joe Diestel, Hans Jarchow, Andrew Tonge.
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Abstract:

This text provides the beginning graduate student with an account of p-summing and related operators.  Read more...

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"Beautifully motivated exposition!" American Mathematical Monthly "...a very welcome addition to a rather long list of recently published monographs concerning deep mathematics in Banach spaces Read more...

 
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