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221028 ||| eng |
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|a 9786611789671
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|a 1281789674
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|a 0444890912
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|a 9781281789679
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|a 0080872875
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|a 9780080872872
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|a QA322
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|a Defant, Andreas
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|a Tensor norms and operator ideals
|c Andreas Defant, Klaus Floret
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| 260 |
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|a Amsterdam
|b North-Holland
|c 1993, 1993
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| 300 |
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|a xi, 566 pages
|b illustrations
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|a 14. Grothendieck's Inequality15. Dual Tensor Norms; 16. The Bounded Approximation Property; 17. The Representation Theorem for Maximal Operator Ideals; 18. (p, q)-Factorable Operators; 19. (p, q)-Dominated Operators; 20. Projective and Injective Tensor Norms; 21. Accessible Tensor Norms and Operator Ideals; 22. Minimal Operator Ideals; 23. Lgp-Spaces; 24. Stable Measures; 25. Composition of Accessible Operator Ideals; 26. More About Lp and Hilbert Spaces; 27. Grothendieck's Fourteen Natural Norms; Chapter III: Special Topics; 28. More Tensor Norms; 29. The Calculus of Traced Tensor Norms
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|a Front Cover; Tensor Norms and Operator Ideals; Copyright Page; Contents; Introduction; Chapter I: Basic Concepts; 1. Bilinear Mappings; 2. The Algebraic Theory of Tensor Products; 3. The Projective Norm; 4. The Injective Norm; 5. The Approximation Property; 6. Duality of the Projective and Injective Norm; 7. The Natural Norm on the p-Integrable Functions; 8. Absolutely and Weakly p-Summable Series and Averaging Techniques; 9. Operator Ideals; 10. Integral Operators; 11. Absolutely p-Summing Operators; Chapter II: Tensor Norms.; 12. Definition and Examples; 13. The Five Basic Lemmas
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|a 30. The Vector Valued Fourier Transform31. Pisier's Factorization Theorem; 32. Mixing Operators; 33. The Radon-Nikodým Property for Tensor Norms and Reflexivity; 34. Tensorstable Operator Ideals; 35. Tensor Norm Techniques for Locally Convex Spaces; Appendices:; A. Some Structural Properties of Banach Spaces; B. Integration Theory; C. Representable Operators; D. The Radon-Nikodým Property; Bibliography; List of Symbols; Index
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|a Includes bibliographical references (pages 527-544) and index
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|a Operator ideals / http://id.loc.gov/authorities/subjects/sh85095027
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|a Operator ideals / fast / (OCoLC)fst01046416
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| 653 |
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|a Tensor products / fast / (OCoLC)fst01147728
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| 653 |
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|a Produits tensoriels / ram
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| 653 |
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|a MATHEMATICS / Vector Analysis / bisacsh
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| 653 |
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|a Tensor analysis
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| 653 |
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|a Tensoren / gtt
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| 653 |
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|a Tensor products / http://id.loc.gov/authorities/subjects/sh85133938
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| 653 |
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|a Operatoren / gtt
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| 653 |
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|a Produits tensoriels
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| 653 |
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|a Idéaux d'opérateurs
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| 700 |
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|a Floret, Klaus
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
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|a North-Holland mathematics studies
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| 776 |
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|z 9780080872872
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| 776 |
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|z 0080872875
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| 856 |
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|u https://www.sciencedirect.com/science/bookseries/03040208/176
|x Verlag
|3 Volltext
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|a 515.63
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| 520 |
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|a The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises
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