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Tensor products of log-hyponormal operators. (English) Zbl 1089.47022

Let \(A\) and \(B\) be invertible operators on a Hilbert space. The author proves that the tensor product \(A \otimes B\) of \(A\) and \(B\) is log-hyponormal if and only if \(A\) and \(B\) are both log-hyponormal. Tensor products of \(\omega\)-hyponormal and \(p\)-quasihyponormal operators are also studied.

MSC:

47A80 Tensor products of linear operators
47B20 Subnormal operators, hyponormal operators, etc.
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