On Norms of Completely Positive Maps

被引：1

作者：

Szarek, Stanislaw J. ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math, UMR 7586, F-75252 Paris, France

来源：

TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1 | 2010年 / 202卷

关键词：

Norms of completely positive maps; Schatten norms; 2-positivity; P-NORMS; MULTIPLICATIVITY;

D O I：

10.1007/978-3-0346-0158-0_31

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

King and Ruskai asked whether the norm of a completely positive map acting between Schatten classes of operators is equal to that of its restriction to the real subspace of self-adjoint operators. Proofs have been promptly supplied by Watrous and Audenaert. Here we provide one more proof, in fact of a slightly more general fact, under the (slightly weaker) assumption of 2-positivity. The argument is elementary and self-contained.

引用

页码：535 / 538

页数：4

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