| A NOTE ON NORMAL ELEMENTARY OPERATORS |
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| 引用本文： | JINCHUAN HOU (department of mathematics). A NOTE ON NORMAL ELEMENTARY OPERATORS[J]. 山西师范大学学报：自然科学版, 1989, 0(2) |
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| 作者姓名： | JINCHUAN HOU (department of mathematics) |
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| 摘 要： | Let(T_1,T_2)and (S_1~*,S_2~*) be double commuting subnormal operator pairs,X and K be bounded linear operators with T_1KS_1 T_2KS_2=0. Then (1)||T_1XS_1 T_2XS_2 K||≥||K||and (2)||T_1XS_1 T_2XS_2 K_1|_2~2=||T_1XS_1 T_2XS_2 ||_2~2 ||K||_2~2if K is Hilbert-Schmidt operator,Let T and S* be dominant operator and subnormal operator, respectively, and K is Hilbert-Schmidt operator, then (3)||TX-XS K||_2~2=||TX-XS||_2~2 ||K||_2~2if TK KS;and (4)||TXS-X K||_2~2=||TXS-X||_2~2 ||K||_2~2 if TKS=K. These generalize the results of (1)and (3).
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A NOTE ON NORMAL ELEMENTARY OPERATORS |
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| JINCHUAN HOU. A NOTE ON NORMAL ELEMENTARY OPERATORS[J]. Journal of Shanxi Teachers University, 1989, 0(2) |
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| Authors: | JINCHUAN HOU |
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| Affiliation: | department of mathematics |
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| Abstract: | |
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| Keywords: | And Phrase normal operator subnormal operator derivation elementary operator Hilert-Schmidt class |
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