ON {\lambda}-Commuting Operators
Abdelaziz Tajmouati, Abdeslam El Bakkali, M.B. Mohamed Ahmed
TL;DR
This paper investigates the algebraic relations of operators satisfying the equation AB = λBA, exploring their properties across various classes like normal and hyponormal operators on complex Hilbert spaces.
Contribution
It introduces new insights into λ-commuting operators and their algebraic relations within different operator classes on Hilbert spaces.
Findings
Characterization of λ-commuting operators across multiple classes
Conditions under which operators satisfy AB = λBA
Extensions to normal, hyponormal, and quasi *-paranormal operators
Abstract
In this paper, we study the operator equation for a bounded operator on a complex Hilbert space. We focus on algebraic relations between different operators that include normal, -hyponormal, quasi -paranormal and other classes.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Banach Space Theory