2021•arXiv (Cornell University)Open access

Self-adjoint and co-isometry composition and weighted composition\n operator on general weighted Hardy space

Anuradha Gupta, Geeta Yadav

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Abstract

In this paper we study the self-adjoint and co-isometry composition and\nweighted composition operator on $H_E(\\zeta).$ We also discuss the conditions\nunder which adjoint operator of a composition and weighted composition operator\non $H_E(\\zeta)$ to be some composition and weighted composition operator,\nrespectively.\n

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In this paper we study the self-adjoint and co-isometry composition and\nweighted composition operator on $H_E(\\zeta).$ We also discuss the conditions\nunder which adjoint operator of a composition and weighted composition operator\non $H_E(\\zeta)$ to be some composition and weighted composition operator,\nrespectively.\n

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Available abstract

In this paper we study the self-adjoint and co-isometry composition and\nweighted composition operator on $H_E(\\zeta).$ We also discuss the conditions\nunder which adjoint operator of a composition and weighted composition operator\non $H_E(\\zeta)$ to be some composition and weighted composition operator,\nrespectively.\n

Key concepts: Composition operator, Composition (language), Quasinormal operator, Isometry (Riemannian geometry), Mathematics, Operator (biology), Pure mathematics, Multiplication operator

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