A remark on non-commutative Lp-spaces

被引：1

作者：

Kato, Shinya ^{[1
]}

Ueda, Yoshimichi ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya 4648602, Japan

来源：

STUDIA MATHEMATICA | 2024年 / 275卷 / 03期

关键词：

non-commutative Lp-space; tensor product; alpha-z-Renyi divergence;

D O I：

10.4064/sm230724-11-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the Haagerup and the Kosaki non-commutative L-p-spaces associated with a tensor product von Neumann algebra M-1 circle times M-2 in terms of ones associated with M-i and the usual tensor products of unbounded operators. The descriptions are then shown to be useful in the quantum information theory based on operator algebras.

引用

页码：235 / 248

页数：14

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