Seminormality of operators from their tensor product

被引:43
作者
Stochel, J
机构
关键词
tensor product; seminormal operator; subnormal operator; Stieltjes moment sequence;
D O I
10.1090/S0002-9939-96-03017-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The question of seminormality of tensor products of nonzero bounded linear operators on Hilbert spaces is investigated. It is shown that A x B is subnormal ii and only if so are A and B.
引用
收藏
页码:135 / 140
页数:6
相关论文
共 10 条
[1]  
[Anonymous], 1943, MATH SURVEYS
[2]  
[Anonymous], HARMONIC ANAL SEMIGR
[3]  
CLANCEY K, 1979, LECT NOTES MATH, V742, P1
[4]  
Conway John B., 1991, MATH SURVEYS MONOGRA, V36
[5]   SUBNORMAL WEIGHTED SHIFTS AND HALMOS-BRAM CRITERION [J].
GELLAR, R ;
WALLEN, LJ .
PROCEEDINGS OF THE JAPAN ACADEMY, 1970, 46 (04) :375-&
[6]   10 PROBLEMS IN HILBERT SPACE [J].
HALMOS, PR .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 76 (05) :887-&
[7]  
LAMBERT A, 1976, J LOND MATH SOC, V14, P476
[8]  
Martin M., 1989, LECTURES HYPONORMAL
[9]  
Shields A., 1974, MATH SURVEYS, V13, P49
[10]  
Stochel J., 1989, ACTA SCI MATH SZEGED, V53/1-2, P153