More inner product bounds with applications
Mohammad Sababheh, Hamid Reza Moradi
TL;DR
This paper introduces new bounds for inner products in Hilbert spaces, enhancing previous results and applying these bounds to improve estimates of the numerical radius and operator norm.
Contribution
It provides novel bounds for inner products in Hilbert spaces, with significant improvements over earlier results and applications to operator theory.
Findings
New bounds for inner products in Hilbert spaces
Improved estimates for the numerical radius
Enhanced bounds for the operator norm
Abstract
The main goal of this paper is to present new bounds for certain inner products in Hilbert spaces, with applications to the numerical radius and the operator norm. The obtained results significantly improve earlier results in this direction.
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Taxonomy
TopicsMathematical Inequalities and Applications · Optimization and Variational Analysis · Holomorphic and Operator Theory