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.
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页码：535 / 538
页数：4
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