A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators

A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators

This paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given.

Bibliographic Details
Main Authors: Ahmed Bachir, Durairaj Senthilkumar, Nawal Ali Sayyaf
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
range-kernel orthogonality
hyponormal operator
$\mathcal{y}$ class operator
$n$-class $a(k)$-operator
Online Access:https://www.aimspress.com/article/10.3934/math.2020477/fulltext.html
Description
Summary:This paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given.
ISSN:2473-6988

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