In this paper, we study the Fuglede–Putnam property. We give a necessary and sufficient
condition for which (⊕ _ i= 1^ n A_i, ⊕ _ i= 1^ n B_i)(⊕ i= 1 n A i,⊕ i= 1 n B i) satisfies the …

In this paper, we obtain some properties of (α, β)(α, β)-normal and we prove following
assertions.(i) If T is (α, β)(α, β)-normal operator, S is an invertible operator and X is a Hilbert …

Let A∈ B (H) and B∈ B (K). We say that A and B satisfy the Fuglede-Putnam theorem if AX=
XB for some X∈ B (K, H) implies A* X= XB*. Patel et al.(2006) showed that the Fuglede …

Abstract Let A= U| A| A= U| A| be the polar decomposition of A on a complex Hilbert space
HH and 0< s, t 0< s, t. Then A _ s, t=| A|^ sU| A|^ t A~ s, t=| A| s U| A| t and A _ s, t^(*)=| A …

Fuglede-Putnam theorem for pw-hyponormal or class Y operators 1 Introduction Page 1 Int. J.
Open Problems Compt. Math., Vol. 11, No. 1, March 2018 ISSN 1998-6262; Copyright c …

Generalizations to Bounded Nonnormal Operators | SpringerLink Skip to main content
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In this paper, we obtain some properties of p−(α, β)-normal and we prove the following
assertions.(i) If T is p−(α, β)-normal operator, S is an invertible operator and X is a Hilbert …

On the Fuglede-putnam Theorem and Normality of Non-normal Operators in Hilbert Spaces
Page 1 UNIVERSITY OF NAIROBI Master Project ON THE FUGLEDE-PUTNAM THEOREM …

Some Range-Kernel Orthogonality Results for Generalized Derivation Page 1 International
Journal of Contemporary Mathematical Sciences Vol. 13, 2018, no. 3, 125 - 131 HIKARI Ltd …