Stability of weighted composition operators between spaces of continuous functions

被引：4

作者：

Araujo, Jesas ^{[1
]}

Font, Juan J. ^{[2
]}

机构：

[1] Univ Cantabria, Fac Ciencias, Dept MATESCO, E-39071 Santander, Spain

[2] Univ Jaume 1, Dept Matemat, Castellon de La Plana, Spain

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2009年 / 79卷

关键词：

MAPS;

D O I：

10.1112/jlms/jdn079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let epsilon > 0. A continuous linear operator T:C(X) -> C(Y) is said to be epsilon-disjointness preserving if (Tf)(Tg)(infinity) <= epsilon whenever f, g is an element of C(X) satisfy f (infinity) = g(infinity) = 1 and fg equivalent to 0. In this paper we basically address the following question: How close must weighted composition operators be to a given epsilon-disjointness preserving operator? We provide sharp stability bounds.

引用

页码：363 / 376

页数：14

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