Additive mappings preserving rank-one idempotents

被引：7

|

作者：

Kuzma, B ^{[1
]}

机构：

[1] Inst Math Phys & Mech, Dept Math, Ljubljana 1000, Slovenia

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 06期

关键词：

additive preservers; idempotents; rank;

D O I：

10.1007/s10114-005-0598-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete characterization of additive mappings Phi : B(X) -> B(Y), which map rank-one idempotents to themselves or to zero, is given.

引用

收藏

页码：1399 / 1406

页数：8

相关论文

共 50 条

[1] Additive Mappings Preserving Rank-one Idempotents
B.KUZMA Institute of Mathematics
Acta Mathematica Sinica(English Series), 2005, 21 (06) : 1399 - 1406
[2] Additive Mappings Preserving Rank–one Idempotents
B. Kuzma
Acta Mathematica Sinica, 2005, 21 : 1399 - 1406
[3] Additive rank-one preserving mappings on triangular matrix algebras
Bell, J
Sourour, AR
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 312 (1-3) : 13 - 33
[4] ADDITIVE MAPPINGS PRESERVING OPERATORS OF RANK ONE
OMLADIC, M
SEMRL, P
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 182 : 239 - 256
[5] Additive maps preserving rank-one operators on nest algebras
Bai, Zhaofang
Hou, Jinchuan
Du, Shuanping
LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (03): : 269 - 283
[6] Additive rank-one preserving surjections on symmetric matrix spaces
Cao, CG
Zhang, X
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 362 : 145 - 151
[7] Rank-one nonincreasing additive mappings on second symmetric product spaces
Lim, MH
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 402 : 263 - 271
[8] On maps preserving rank-one nilpotents
Catalano, Louisa
Chang-Lee, Megan
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (16): : 3092 - 3098
[9] Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
Lim, MH
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 408 : 259 - 267
[10] Additive mappings decreasing rank one
Kuzma, B
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 348 (1-3) : 175 - 187

← 1 2 3 4 5 →