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Positive definiteness of functions with applications to operator norm inequalities / [electronic resource] Hideki Kosaki.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 997Publication details: Providence, R.I. : American Mathematical Society, 2011.Description: 1 online resource (v, 80 p.)ISBN:
  • 9781470406141 (online)
Subject(s): Additional physical formats: Positive definiteness of functions with applications to operator norm inequalities /DDC classification:
  • 515/.724 22
LOC classification:
  • QA329 .K675 2011
Online resources:
Contents:
Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Fourier transforms and positive definiteness Chapter 4. A certain Heinz-type inequality and related commutator estimates Chapter 5. Norm comparison for various operator means Chapter 6. Norm inequalities for $H^{\frac {1}{2} + \beta } X K^{\frac {1}{2} - \beta } + H^{\frac {1}{2} - \beta } X K^{\frac {1}{2} + \beta } \pm H^{\frac {1}{2}} X K^{\frac {1}{2}}$ Chapter 7. Norm comparison of Heron-type means and related topics Chapter 8. Operator Lehmer means and their properties Appendix A. A direct proof for Proposition 7.3 Appendix B. Proof for Theorem 7.10
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13450

"July 2011, volume 212, number 997 (second of 4 numbers)."

Includes bibliographical references (p. 77-78) and index.

Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Fourier transforms and positive definiteness Chapter 4. A certain Heinz-type inequality and related commutator estimates Chapter 5. Norm comparison for various operator means Chapter 6. Norm inequalities for $H^{\frac {1}{2} + \beta } X K^{\frac {1}{2} - \beta } + H^{\frac {1}{2} - \beta } X K^{\frac {1}{2} + \beta } \pm H^{\frac {1}{2}} X K^{\frac {1}{2}}$ Chapter 7. Norm comparison of Heron-type means and related topics Chapter 8. Operator Lehmer means and their properties Appendix A. A direct proof for Proposition 7.3 Appendix B. Proof for Theorem 7.10

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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