On $\mathbb{A}$-numerical radius inequalities for $2\times2$ operator matrices-II

Satyajit Sahoo

On $\mathbb{A}$-numerical radius inequalities for $2\times2$ operator matrices-II

Functional Analysis 2020-07-08 v1

Authors: Satyajit Sahoo

Abstract

The main goal of this article is to establish several new upper and lower bounds for the $\mathbb{A}$ -numerical radius of $2\times 2$ operator matrices, where $\mathbb{A}$ be the $2\times 2$ diagonal operator matrix whose diagonal entries are positive bounded operator $A$ .

Keywords

numerical radius operator theory numerical range

Cite

@article{arxiv.2007.03512,
  title  = {On $\mathbb{A}$-numerical radius inequalities for $2\times2$ operator matrices-II},
  author = {Satyajit Sahoo},
  journal= {arXiv preprint arXiv:2007.03512},
  year   = {2020}
}

Comments

18 pages

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