Some properties of Moore$-$Penrose inverse of weighted composition operators
الموضوعات :
1 - Department of Mathematics, Lorestan University, Khorramabad, Iran
الکلمات المفتاحية: Moore-Penrose inverse, polar decomposition, weighted composition operator, partial isometry, hyponormal operator,
ملخص المقالة :
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.
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