Hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup

被引：19

作者：

Carbone, Raffaella ^{[1
]}

Sasso, Emanuela

机构：

[1] Univ Pavia, Dipartimento Matemat, Via Ferrata 1, I-27100 Pavia, Italy

[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2008年 / 140卷 / 3-4期

关键词：

D O I：

10.1007/s00440-007-0073-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup on the entire algebra B(h) of bounded operators on a separable Hilbert space h. We exploit the particular structure of the spectrum together with hypercontractivity of the corresponding birth and death process and a proper decomposition of the domain. Then we deduce a logarithmic Sobolev inequality for the semigroup and gain an elementary estimate of the best constant.

引用

页码：505 / 522

页数：18

共 29 条

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