On relaxation normality in the Fuglede-Putnam theorem for a quasi-class $A$ operators
2009 ◽
Vol 40
(3)
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pp. 307-312
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Keyword(s):
Class A
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Let $T$ be a bounded linear operator acting on a complex Hilbert space $ \mathcal{H} $. In this paper, we show that if $A$ is quasi-class $A$, $ B^* $ is invertible quasi-class $A$, $X$ is a Hilbert-Schmidt operator, $AX=XB$ and $ \left\Vert |A^*| \right\Vert \left\Vert |B|^{-1} \right\Vert \leq 1 $, then $ A^* X = X B^* $.
1969 ◽
Vol 21
◽
pp. 1421-1426
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Keyword(s):
1969 ◽
Vol 12
(5)
◽
pp. 639-643
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2016 ◽
Vol 59
(2)
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pp. 354-362
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1974 ◽
Vol 76
(2)
◽
pp. 415-416
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1977 ◽
Vol 29
(5)
◽
pp. 1010-1030
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