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

共 50 条

[1] NON-COMMUTATIVE LP-SPACES
YEADON, FJ
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) : 91 - 102
[2] On subspaces of non-commutative Lp-spaces
Raynaud, Y
Xu, QH
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 203 (01) : 149 - 196
[3] On axiomatizability of non-commutative Lp-spaces
Henson, C. Ward
Raynaud, Yves
Rizzo, Andrew
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2007, 50 (04): : 519 - 534
[4] Sequences in non-commutative Lp-spaces
Randrianantoanina, N
JOURNAL OF OPERATOR THEORY, 2002, 48 (02) : 255 - 272
[5] ISOMETRIES OF NON-COMMUTATIVE LP-SPACES
YEADON, FJ
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1981, 90 (JUL) : 41 - 50
[6] Interpolation between non-commutative BMO and non-commutative Lp-spaces
Musat, M
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 202 (01) : 195 - 225
[7] Decomposable maps on non-commutative Lp-spaces
Junge, M
Ruan, ZJ
OPERATOR ALGEBRAS, QUANTIZATION, AND NONCOMMUTATIVE GEOMETRY: A CENTENNIAL CELEBRATION HONORING JOHN VON NEUMANN AND MARSHALL H. STONE, 2004, 365 : 355 - 381
[8] INEQUALITIES FOR NON-COMMUTATIVE LP-SPACES AND AN APPLICATION
YEADON, FJ
KOPP, PE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 19 (FEB): : 123 - 128
[9] On the structure of subspaces of non-commutative Lp-spaces
Raynaud, Y
Xu, QH
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (03): : 213 - 218
[10] Maximal ergodic theorems in non-commutative Lp-spaces
Junge, M
Xu, QH
COMPTES RENDUS MATHEMATIQUE, 2002, 334 (09) : 773 - 778

← 1 2 3 4 5 →