G. J. O. Jameson

Summing and Nuclear Norms in Banach Space Theory

Herausgeber: Bruce, J. W.

• Broschiertes Buch

Produktbeschreibung

This textbook is an introduction to the techniques of summing and nuclear norms.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 188
• Erscheinungstermin: 26. August 2008
• Englisch
• Abmessung: 229mm x 152mm x 10mm
• Gewicht: 282g
• ISBN-13: 9780521349376
• ISBN-10: 0521349370
• Artikelnr.: 25427419

Inhaltsangabe

0. Banach space background
1. Finite rank operators: trace and 1-nuclear norm
2. Finite sequences of elements : the quantities µ1, µ2
3. The summing norms
4. Other nuclear norms: duality with the summing norms
5. Pietsch's theorem and its applications
6. Averaging: type 2 and cotype 2 constants
7. More averaging: Khinchin's inequality and related results
8. Integral methods: Gaussian averaging
9. 2-dominated spaces
10. Grothendieck's inequality
11. The interpolation method for Grothendieck-type theorems
12. Results connected with the basis constant
13. Estimation of summing norms using a restricted number of elements
14. Pisier's theorem for pi2,1
15. Tensor products of operators
16. Trace duality revisited: integral norms
17. Applications of local reflexivity
18. Cone-summing norms.