NORMAL-PRESERVING LINEAR MAPPINGS

被引:17
作者
BRESAR, M
SEMRL, P
机构
[1] UNIV MARIBOR,DEPT MATH,62000 MARIBOR,SLOVENIA
[2] UNIV LJUBLJANA,DEPT MATH,61000 LJUBLJANA,SLOVENIA
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1994年 / 37卷 / 03期
关键词
D O I
10.4153/CMB-1994-046-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let H be a Hilbert space, dim H greater-than-or-equal-to 3, and B(H) the algebra of all bounded linear operators on H. We characterize bijective linear mappings on B(H) that preserve normal operators.
引用
收藏
页码:306 / 309
页数:4
相关论文
共 8 条
[2]  
Chernoff P. R., 1973, Journal of Functional Analysis, V12, P275, DOI 10.1016/0022-1236(73)90080-3
[3]   LINEAR-MAPS PRESERVING COMMUTATIVITY [J].
CHOI, MD ;
JAFARIAN, AA ;
RADJAVI, H .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 87 :227-241
[4]  
JACOBSON N, 1975, LECTURE NOTES MATH, V441
[5]   NORMAL-PRESERVING LINEAR TRANSFORMATIONS [J].
KUNICKI, CM ;
HILL, RD .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 170 :107-115
[6]   LINEAR PRESERVER PROBLEMS - A BRIEF INTRODUCTION AND SOME SPECIAL TECHNIQUES [J].
LI, CK ;
TSING, NK .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 162 :217-235
[7]  
Mathieu M., 1989, P CTR MATH ANAL AUST, V21, P297
[8]  
RADJAVI H, 1973, ERGEB MATH GRENZEB, V77