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TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS
Published online by Cambridge University Press: 15 January 2004
Abstract
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.
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- Research Article
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- 2004 Glasgow Mathematical Journal Trust
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