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arXiv · 2608.22220

Inner product bounds via the Moore-Penrose inverse with applications

A. Sheikhhosseini·Gh. Aghamollaei·M. Sababheh
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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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A. Sheikhhosseini, Gh. Aghamollaei, M. Sababheh. 2026-08-23. Inner product bounds via the Moore-Penrose inverse with applications. https://arxiv.org/abs/2608.22220

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