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Título: Positive Definiteness Of Funtions With Applications To Operator Norm Inequalitie | |
| Autor: Kosaki, Hideki | Precio: $937.20 | |
| Editorial: American Mathematical Society | Año: 2011 | |
| Tema: | Edición: 1ª | |
| Sinopsis | ISBN: 9780821853078 | |
| 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 operators.
Table of Contents Introduction Preliminaries Fourier transforms and positive definiteness A certain Heinz-type inequality and related commutator estimates Norm comparison for various operator means Norm inequalities for $H^{\frac{1}{2}+\beta}XK^{\frac{1}{2}-\beta}+ H^{\frac{1}{2}-\beta}XK^{\frac{1}{2}+\beta}\pm H^{1/2}XK^{1/2}$ Norm comparison of Heron-type means and related topics Operator Lehmer means and their properties Appendix A. A direct proof for Proposition 7.3 Appendix B. Proof for Theorem 7.10 Bibliography Index |
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