Some properties of Moore$-$Penrose inverse of weighted composition operators

Journal of Linear and Topological Algebra

دوره 10، شماره 02، شهریور 2021، صفحه 79-91   

نوع مقاله: Review paper

نویسنده

M. Sohrabi^*

Department of Mathematics, Lorestan University, Khorramabad, Iran

چکیده

‎In this paper‎, ‎we give an explicit formula for the Moore-Penrose inverse of $W$‎, ‎denoted by $W^{\dag}$‎, ‎on $L^2(\Sigma)$‎. ‎As an application‎, ‎we give a characterization for some operator classes that are weaker than $p$-hyponormal with $W^{\dag}$‎. ‎Moreover‎, ‎we give specific examples illustrating these classes‎.

کلیدواژه‌ها

Moore-Penrose inverse؛ Weighted composition operator؛ polar decomposition؛ partial isometry؛ hyponormal operator

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