Self-adjoint and co-isometry composition and weighted composition operator on general weighted Hardy space
Anuradha Gupta, Geeta Yadav
TL;DR
This paper investigates the properties of self-adjoint and co-isometry composition and weighted composition operators on a general weighted Hardy space, including conditions for their adjoints to be of similar form.
Contribution
It provides new characterizations of these operators on weighted Hardy spaces and explores conditions for their adjoints to also be composition or weighted composition operators.
Findings
Characterization of self-adjoint composition operators
Conditions for co-isometry properties
Criteria for adjoint operators to be composition or weighted composition operators
Abstract
In this paper we study the self-adjoint and co-isometry composition and weighted composition operator on We also discuss the conditions under which adjoint operator of a composition and weighted composition operator on to be some composition and weighted composition operator, respectively.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Algebraic and Geometric Analysis