<p>In this paper we characterize <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k\)</EquationSource> </InlineEquation>-quasi <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(n\)</EquationSource> </InlineEquation>-power posinormal composition operators and weighted composition operators on <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(L^2(\mu )\)</EquationSource> </InlineEquation> space. Also, we study <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(k\)</EquationSource> </InlineEquation>-quasi <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(n\)</EquationSource> </InlineEquation>-power posinormal operators in the view point of Cauchy dual of Lambert conditional operators using the Moore-Penrose inverse. Moreover we give example for <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(k\)</EquationSource> </InlineEquation>-quasi <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(n\)</EquationSource> </InlineEquation>-power posinormal weighted shift operator on directed tree.&#xa0;&#xa0;</p>

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k-quasi n-power posinormal and Lambert operators

  • Sophiya S. Dharan,
  • T. Prasad,
  • P. Ramya,
  • M. H. M. Rashid

摘要

In this paper we characterize \(k\) -quasi \(n\) -power posinormal composition operators and weighted composition operators on \(L^2(\mu )\) space. Also, we study \(k\) -quasi \(n\) -power posinormal operators in the view point of Cauchy dual of Lambert conditional operators using the Moore-Penrose inverse. Moreover we give example for \(k\) -quasi \(n\) -power posinormal weighted shift operator on directed tree.