Maps preserving the truncation of products of operators

被引：3

作者：

Jia, Xinrong ^{[1
]}

Shi, Weijuan ^{[1
]}

Ji, Guoxing ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2022年 / 13卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Truncation of operator; Operator equation; Preserver; products of operators; Triple Jordan products of operators; FUNCTIONAL VALUES; PARTIAL ORDER; MAPPINGS; MATRICES;

D O I：

10.1007/s43034-022-00180-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a complex Hilbert space with dimH >= 2 and B(H) the algebra of all bounded linear operators on H. For A, B is an element of B(H), A is called a truncation of B if A = PABPA*, where P-A and P-A* denote projections onto the closures of the range of A and A*, respectively. In this paper, we determine the structures of all bijections on B(H) preserving the truncation of products of operators in both directions. Moreover, we also consider all maps preserving the truncation of triple Jordan products of operators in both directions.

引用

页数：17

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