On a Generalization of Quasiposinormal Operators

Authors

  • Gopal Datt

Keywords:

hyponormal operator, posinormal operator, k-quasiposinormal operator, weighted composition operator

Abstract

Paper describes some properties for the operators gif.latex?A on a Hilbert space gif.latex?\mathcal{H} satisfying gif.latex?(A^{*}A)^{k}&space;\leq&space;c^{2}A^{*k}A^{k} for some gif.latex?c > gif.latex?0, gif.latex?k&space;\geq&space;2 and also presents some characterizations for the composition operators and the weighted composition operators on the Hilbert space gif.latex?L^{2} to be of this type.

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Published

2019-12-16

Issue

Section

Research Articles