Completely bounded maps and invariant subspaces

被引：1

作者：

Alaghmandan, M. ^{[1
]}

Todorov, I. G. ^{[2
,3
]}

Turowska, L. ^{[4
,5
]}

机构：

[1] Carleton Univ, Sch Math & Stat, Ottawa, ON H1S 5B6, Canada

[2] Queens Univ Belfast, Math Sci Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

[3] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[4] Chalmers Univ Technoloey, Dept Math Sci, Gothenburg 41296, Sweden

[5] Univ Gothenburg, Gothenburg 41296, Sweden

来源：

MATHEMATISCHE ZEITSCHRIFT | 2020年 / 294卷 / 1-2期

关键词：

ALGEBRAS; MULTIPLIERS;

D O I：

10.1007/s00209-019-02255-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a description of certain invariance properties of completely bounded bimodule maps in terms of their symbols. If G is a locally compact quantum group, we characterise the completely bounded L infinity(G)'-bimodule maps that send C0(G) in terms of the properties of the corresponding elements of the normal Haagerup tensor product L infinity(G)circle times sigma hL infinity(G). As a consequence, we obtain an intrinsic characterisation of the normal completely bounded L infinity(G)'-bimodule maps that leave L infinity invariant, extending and unifying results, formulated in the current literature separately for the commutative and the co-commutative cases.

引用

页码：471 / 489

页数：19

共 28 条

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