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Weighted Composition Lambert-Type Operators via Matrix Representation

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In this note, we discuss matrix theoretic characterizations for weighted composition Lambert-type operators of the form \(T_{\varphi }: = M_{w}EM_{u}C_\varphi \) in some operator classes on \(\ell ^2(\mathbb {N}_0),\) such… Click to show full abstract

In this note, we discuss matrix theoretic characterizations for weighted composition Lambert-type operators of the form \(T_{\varphi }: = M_{w}EM_{u}C_\varphi \) in some operator classes on \(\ell ^2(\mathbb {N}_0),\) such as quasinormal, hyponormal, binormal, n-hyponormal, A-class and\(*\)-A-classes. Also, polar decomposition, Aluthge and mean transform of \(T_\varphi \) will be investigated.

Keywords: lambert type; composition lambert; type operators; weighted composition; matrix

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2019

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