q-A-NUMERICAL RANGE OF AN OPERATOR

Ahmed Elbarbouchi, Mohamed Boumazgour

Abstract


The aim of this paper is to introduce and investigate the concept
of the q-A-numerical range of an operator on a Hilbert space. Basic properties
of this set are studied, and several estimates of the related q-A-numerical radius
are established. As applications, many q-A-numerical radius inequalities for
some operator matrices on a Hilbert space are given. In addition, some results
about the center of the q-A-numerical range of an operator are established


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