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.
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页码：887 / 895
页数：9
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