TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS
Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 91-95
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Let $A$ (resp. $B$) be a bounded linear operator on a complex Hilbert space $ {\mathcal H}$ (resp. $ {\mathcal K}$). We show that the tensor product $ A \otimes B $ is log-hyponormal if and only if $A$ and $B$ are log-hyponormal, and that a similar result holds for class $A(s,t)$ operators.
TANAHASHI, KÔTARÔ; CHŌ, MUNEO. TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS. Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 91-95. doi: 10.1017/S0017089503001563
@article{10_1017_S0017089503001563,
author = {TANAHASHI, K\^OTAR\^O and CH\={O}, MUNEO},
title = {TENSOR {PRODUCTS} {OF} {LOG-HYPONORMAL} {AND} {OF} {CLASS} $A(s,t)$ {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {91--95},
year = {2004},
volume = {46},
number = {1},
doi = {10.1017/S0017089503001563},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001563/}
}
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%0 Journal Article %A TANAHASHI, KÔTARÔ %A CHŌ, MUNEO %T TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS %J Glasgow mathematical journal %D 2004 %P 91-95 %V 46 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001563/ %R 10.1017/S0017089503001563 %F 10_1017_S0017089503001563
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