Book contents
- Frontmatter
- Contents
- Introduction
- 1 Measure and integral
- 2 The Cauchy–Schwarz inequality
- 3 The AM–GM inequality
- 4 Convexity, and Jensen's inequality
- 5 The Lp spaces
- 6 Banach function spaces
- 7 Rearrangements
- 8 Maximal inequalities
- 9 Complex interpolation
- 10 Real interpolation
- 11 The Hilbert transform, and Hilbert's inequalities
- 12 Khintchine's inequality
- 13 Hypercontractive and logarithmic Sobolev inequalities
- 14 Hadamard's inequality
- 15 Hilbert space operator inequalities
- 16 Summing operators
- 17 Approximation numbers and eigenvalues
- 18 Grothendieck's inequality, type and cotype
- References
- Index of inequalities
- Index
17 - Approximation numbers and eigenvalues
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Introduction
- 1 Measure and integral
- 2 The Cauchy–Schwarz inequality
- 3 The AM–GM inequality
- 4 Convexity, and Jensen's inequality
- 5 The Lp spaces
- 6 Banach function spaces
- 7 Rearrangements
- 8 Maximal inequalities
- 9 Complex interpolation
- 10 Real interpolation
- 11 The Hilbert transform, and Hilbert's inequalities
- 12 Khintchine's inequality
- 13 Hypercontractive and logarithmic Sobolev inequalities
- 14 Hadamard's inequality
- 15 Hilbert space operator inequalities
- 16 Summing operators
- 17 Approximation numbers and eigenvalues
- 18 Grothendieck's inequality, type and cotype
- References
- Index of inequalities
- Index
Summary
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- Type
- Chapter
- Information
- Inequalities: A Journey into Linear Analysis , pp. 289 - 301Publisher: Cambridge University PressPrint publication year: 2007