Maps on B(H) preserving involution

被引:4
作者
Yang, Li
Zhang, Ling [1 ]
机构
[1] Harbin Finance Coll, Dept Basic, Harbin, Peoples R China
关键词
Involution; Hilbert space; Perserver problem; LINEARITY; MATRICES;
D O I
10.1016/j.laa.2009.03.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let B(H) be the algebra of all bounded linear operators on a complex Hilbert space R. We use the form of idempotence-preserving maps to claracterize the form of involutivity-preserving maps. (c) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:666 / 672
页数:7
相关论文
共 18 条
[1]  
Bhatia R, 1999, STUD MATH, V134, P99
[2]  
CAO GC, 2004, ELECTRON J LINEAR AL, V11, P205
[3]   Maps on B(H) preserving idempotents [J].
Dolinar, G .
LINEAR & MULTILINEAR ALGEBRA, 2004, 52 (05) :335-347
[4]   Maps on matrix algebras preserving idempotents [J].
Dolinar, G .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 371 :287-300
[5]   Determinant preserving maps on matrix algebras [J].
Dolinar, G ;
Semrl, P .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 348 (1-3) :189-192
[6]  
Frobenius G, 1897, Sitzungsber. Preuss. Akad. Wiss. Berlin, P994
[7]   Some general techniques on linear preserver problems [J].
Guterman, A ;
Li, CK ;
Semrl, P .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 315 (1-3) :61-81
[8]   LINEAR PRESERVER PROBLEMS - A BRIEF INTRODUCTION AND SOME SPECIAL TECHNIQUES [J].
LI, CK ;
TSING, NK .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 162 :217-235
[9]   Linear preserver problems [J].
Li, CK ;
Pierce, S .
AMERICAN MATHEMATICAL MONTHLY, 2001, 108 (07) :591-605
[10]   AUTOMORPHISMS OF THE POSET OF SKEW PROJECTIONS [J].
OVCHINNIKOV, PG .
JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 115 (01) :184-189