ALGEBRAIC REFLEXIVITY OF SETS OF BOUNDED LINEAR OPERATORS ON ABSOLUTELY CONTINUOUS FUNCTION SPACES

被引：10

作者：

Hosseini, Maliheh ^{[1
]}

机构：

[1] KN Toosi Univ Technol, Fac Math, Tehran 163151618, Iran

来源：

OPERATORS AND MATRICES | 2019年 / 13卷 / 03期

关键词：

Algebraic reflexivity; isometry group; absolutely continuous function; generalized bi-circular projection; isometric reflection; BI-CIRCULAR PROJECTIONS; LOCAL ISOMETRIES;

D O I：

10.7153/oam-2019-13-63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with the algebraic reflexivity of sets of bounded linear operators on absolutely continuous vector-valued function spaces. As a consequence, it is shown that the set of all surjective linear isometries, the set of all isometric reflections, and the set of all generalized bi-circular projections on AC[0,1] are algebraically reflexive.

引用

页码：887 / 895

页数：9

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