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Stochel, Jan

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

Proc. Am. Math. Soc. 124, No. 1, 135-140 (1996).
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 \(B\).

Cited in 1 Review
Cited in 18 Documents

MSC:

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

Keywords:

seminormal operator; subnormal operator; Stieltjes moment sequence; tensor products of nonzero bounded linear operators
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\textit{J. Stochel}, Proc. Am. Math. Soc. 124, No. 1, 135--140 (1996; Zbl 0855.47018)
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References:

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