Inner product bounds via the Moore-Penrose inverse with applications
A. Sheikhhosseini, Gh. Aghamollaei, M. Sababheh
Abstract
In this paper, by implementing the generalized inverse, known as the Moore-Penrose inverse, for Hilbert space operators, several inner product bounds that are of Cauchy-Schwarz type are presented. As a standard application, some new refined and generalized versions of numerical radius-norm bounds are also stated, in a generalized form that involves different combinations of operators.
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