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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kosaki, Hideki
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2011.
Colección:Memoirs of the American Mathematical Society ; no. 997.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Positive definiteness of functions with applications to operator norm inequalities /  |c Hideki Kosaki. 
264 1 |a Providence, R.I. :  |b American Mathematical Society,  |c 2011. 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 997 
500 |a "July 2011, volume 212, number 997 (second of 4 numbers)." 
504 |a Includes bibliographical references (pages 77-78) and index. 
588 0 |a Print version record. 
520 3 |a 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. 
505 0 0 |t Chapter 1. Introduction  |t Chapter 2. Preliminaries  |t Chapter 3. Fourier transforms and positive definiteness  |t Chapter 4. A certain Heinz-type inequality and related commutator estimates  |t Chapter 5. Norm comparison for various operator means  |t Chapter 6. Norm inequalities for $H^{\frac {1}{2} + \beta } X K^{\frac {1}{2} -- \beta } + H^{\frac {1}{2} -- \beta } X K^{\frac {1}{2} + \beta } \pm H^{\frac {1}{2}} X K^{\frac {1}{2}}$  |t Chapter 7. Norm comparison of Heron-type means and related topics  |t Chapter 8. Operator Lehmer means and their properties  |t Appendix A.A direct proof for Proposition 7.3  |t Appendix B. Proof for Theorem 7.10. 
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650 0 |a Operator theory. 
650 0 |a Inequalities (Mathematics) 
650 0 |a Fourier transformations. 
650 6 |a Théorie des opérateurs. 
650 6 |a Inégalités (Mathématiques) 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Fourier transformations  |2 fast 
650 7 |a Inequalities (Mathematics)  |2 fast 
650 7 |a Operator theory  |2 fast 
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