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Seminormality of operators from their tensor product. (English) Zbl 0855.47018

Summary: The question of seminormality of tensor products of nonzero bounded linear operators on Hilbert spaces is investigated. It is shown that \(A\otimes B\) is subnormal if and only if so are \(A\) and \(B\).

MSC:

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