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Positive definiteness of functions with applications to operator norm inequalities /
Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operator...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, R.I. :
American Mathematical Society,
2011.
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| Series: | Memoirs of the American Mathematical Society ;
no. 997. |
| Subjects: | |
| Online Access: | Texto completo |
Table of 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.