A note on 𝑝-hyponormal operators

Huruya, Tadasi

doi:10.1090/S0002-9939-97-04004-5

A note on $p$-hyponormal operators
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Proc. Amer. Math. Soc. 125 (1997), 3617-3624 Request permission

Abstract:

Let $T$ be a $p$-hyponormal operator on a Hilbert space with polar decomposition $T=U|T|$ and let $\widetilde T=|T|^{t}U|T|^{r-t}$ for $r>0$ and $r \geq t \geq 0.$ We study order and spectral properties of $\widetilde {T}.$ In particular we refine recent Furuta’s result on $p$-hyponormal operators.

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