On residualities in the set of Markov operators on C1

被引：16

作者：

Bartoszek, W ^{[1
]}

Kuna, B ^{[1
]}

机构：

[1] Gdansk Univ Technol, Dept Math, PL-80952 Gdansk, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 07期

关键词：

Schatten classes; Markov operator; mixing operator; residuality;

D O I：

10.1090/S0002-9939-05-07776-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the set of those Markov operators on the Schatten class C-1 such that lim(n-->infinity) parallel to P-n - Q parallel to = 0, where Q is one-dimensional projection, is norm open and dense. If we require that the limit projections must be on strictly positive states, then such operators P form a norm dense G(delta). Surprisingly, for the strong operator topology operators the situation is quite the opposite.

引用

页码：2119 / 2129

页数：11

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