Quasi-similar <Emphasis Type="Italic">p </Emphasis>-hyponormal operators Page 1 Integr
Equat Oper Th Vol. 26 (1996) 0378-620X/96/030338-0851.50+0.20/0 (c) Birkh~iuser Verlag …

Let T be p-hyponormal or\rm {log}-hyponormal on a Hilbert space H. Then we have XT= T^*
X whenever XT^*= TX for some X\in\scriptstyle {B}(\scriptstyle {H}). This is an extension of …

In this paper we show that the normal parts of quasisimilar log-hyponormal operators are
unitarily equivalent. A Fuglede-Putnam type theorem for log-hyponormal operators is …

It is still unknown whether the inverse of an invertible k-paranormal operator is normaloid,
and so whether a k-paranormal operator is totally hereditarily normaloid. We provide …

Given a Hilbert space operator A∈ B (H) with polar decomposition A= U| A|, the class A (s, t),
0< s, t≤ 1, consists of operators A∈ B (H) such that| A⁎| 2 t≤(| A⁎| t| A| 2 s| A⁎| t) t t+ s …

Let B (H) denote the algebra of operators on the Hilbert space H, and let P denote the class
of A∈ B (H) which are such that the restriction of A to an invariant subspace is in P …

Given Hilbert space operators A, B∈ B (H), define δ A, B and△ A, B in B (B (H)) by δ A, B
(X)= AX− XB and△ A, B (X)= AXB− X for each X∈ B (H). An operator A∈ B (H) satisfies the …

Let B (H) denote the algebra of operators on the Hilbert space H into itself. Given A, BεB (H),
define C (A, B) and R (A, B): B (H)→ B (H) by C (A, B) X= AX− XB and R (A, B) X= AXB− X …

Let $\mathcal {H} $ be a complex Hilbertspace and $ T= U| T| $ be the polar decomposition
of a bounded linear operator $ T\in B (\mathcal {H}) $. An operator $ T $ is said to be …

An Extension of Fuglede-Putnam Theorem for Certain Posinormal Operators Page 1 Int. J.
Contemp. Math. Sciences, Vol. 8, 2013, no. 17, 827 - 832 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ijcms.2013.3452 …