Orlicz extension of Numerical radius inequalities

Amit Maji; Atanu Manna; Ram Mohapatra

Orlicz extension of Numerical radius inequalities

Functional Analysis 2024-04-08 v2

Authors: Amit Maji , Atanu Manna , Ram Mohapatra

Abstract

In this paper, we achieve new and improved numerical radius inequalities of operators defined on a Hilbert space by using Orlicz function and Hermite-Hadamard inequality. The upper bounds of various inequalities involving numerical radii have been obtained. Finally, we compute an upper bound of the numerical radius for block matrices of the form $\begin{bmatrix}O & P\\Q & O \end{bmatrix}$ , where $P, Q$ are any bounded linear operators on a Hilbert space.

Keywords

numerical radius orlicz function hermite-hadamard inequality hilbert space bounded linear operator block matrix

Cite

@article{arxiv.2207.01915,
  title  = {Orlicz extension of Numerical radius inequalities},
  author = {Amit Maji and Atanu Manna and Ram Mohapatra},
  journal= {arXiv preprint arXiv:2207.01915},
  year   = {2024}
}

Comments

Preliminary version. Title, Abstract and Main results have been modified. 20 pages

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