Similarity preserving linear maps on J-subspace lattice algebras

被引：0

作者：

Qin, Zijie ^{[1
]}

Lu, Fangyan ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2020年 / 14卷 / 03期

基金：

中国国家自然科学基金;

关键词：

!text type='JS']JS[!/text]L algebra; Linear preserver; Similarity; OPERATORS;

D O I：

10.1007/s43037-019-00042-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the structure of similarity preserving linear maps of reflexive algebras with J-subspace lattices. This result can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.

引用

页码：856 / 870

页数：15

共 17 条

[1] Additive maps preserving nilpotent operators or spectral radius [J].

Bai, ZF ;

Hou, JC .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (05) :1167-1182

[2] LINEAR TRANSFORMATIONS THAT PRESERVE THE NILPOTENT MATRICES [J].

BOTTA, P ;

PIERCE, S ;

WATKINS, W .

PACIFIC JOURNAL OF MATHEMATICS, 1983, 104 (01) :39-46

[3] Nonlinear maps preserving similarity on B(H) [J].

Du, Shuanping ;

Hou, Jinchuan ;

Bai, Zhaofang .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 422 (2-3) :506-516

[4] SIMILARITY PRESERVING LINEAR-MAPS ON MATRICES [J].

HIAI, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 97 :127-139

[5]

Hou J-C., 2002, INTRO LINEAR MAPS OP

[6] Additive maps preserving similarity of operators on Banach spaces [J].

Hou, JC ;

Zhang, XL .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (01) :179-186

[7] Similarity-preserving linear maps on B(H) [J].

Ji, GX .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 360 :249-257

[8]

Katavolos A, 2001, J OPERAT THEOR, V46, P355

[9]

Lambrou MS, 1997, STUD MATH, V125, P187

[10] Maps preserving the nilpotency of products of operators [J].

Li, Chi-Kwong ;

Semrl, Peter ;

Sze, Nung-Sing .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 424 (01) :222-239

← 1 2 →