Pisier G. Complex interpolation between Hilbert, Banach, and operator spaces. - Providence: American Mathematical Society, 2010. - v, 78 p. - (Memoirs of the American Mathematical Society; Vol.208, N 978). - Ref.: p.75-78. - ISBN 978-0-8218-4842-5; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Introduction .................................................... 1 Chapter 1. Preliminaries. Regular operators .................... 7 Chapter 2. Regular and fully contractive operators ............ 13 Chapter 3. Remarks on expanding graphs ........................ 17 Chapter 4. A duality operators/classes of Banach spaces ....... 21 Chapter 5. Complex interpolation of families of Banach spaces ............................................. 27 Chapter 6. θ-Hilbertian spaces ................................ 33 Chapter 7. Arcwise versus not arcwise ......................... 41 Chapter 8. Fourier and Schur multipliers ...................... 43 Chapter 9. A characterization of uniformly curved spaces ...... 47 Chapter 10. Extension property of regular operators ............ 51 Chapter 11. Generalizations .................................... 55 Chapter 12. Operator space case ................................ 61 Chapter 13. Generalizations (Operator space case) .............. 69 Chapter 14. Examples with the Haagerup tensor product .......... 73 References ..................................................... 75