210 research outputs found
An asymmetric Putnam-Fuglede theorem for *-paranormal operators
The well-known asymmetric form of Putnam-Fuglede theorem asserts that if
and are bounded normal operators and for some bounded operator
, then . In this paper we showed that the above theorem does not
hold for paranormal operator , even if we assume that has to be unitary
and an operator is taken from Hilbert-Schmidt class. Additionally, we
showed the similar resualt for *-paranormal operators.Comment: 5 page
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