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.
               
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