Book contents
- Frontmatter
- Contents
- Introduction
- 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 Piseer's theorem for π2, 1
- 15 Tensor products of operators
- 16 Trace duality revisited: integral norms
- 17 Applications of local reflexivity
- 18 Cone-summing norms
- References
- List of symbols
- Index
3 - The summing norms
Published online by Cambridge University Press: 12 October 2009
Book contents
- Frontmatter
- Contents
- Introduction
- 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 Piseer's theorem for π2, 1
- 15 Tensor products of operators
- 16 Trace duality revisited: integral norms
- 17 Applications of local reflexivity
- 18 Cone-summing norms
- References
- List of symbols
- Index
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- Summing and Nuclear Norms in Banach Space Theory , pp. 31 - 45Publisher: Cambridge University PressPrint publication year: 1987