An alternative estimate for the numerical radius of Hilbert space operators-Reference-Cited by-同舟云学术

An alternative estimate for the numerical radius of Hilbert space operators

Published:2020-02-25 Issue:1 Volume:70 Page:233-237
ISSN:0139-9918
Container-title:Mathematica Slovaca
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Author:

Hosseini Mohsen Shah¹,Moosavi Baharak²,Moradi Hamid Reza³

Affiliation:

1. Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran

2. Department of Mathematics, Safadasht Branch, Islamic Azad University, Tehran, Iran

3. Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran

Abstract

AbstractWe give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that

$$\begin{array}{} \displaystyle \omega\left(\left[\begin{array}{cc} 0 & R \\ S & 0 \end{array}\right]\right)=\frac{\Vert R \Vert +\Vert S\Vert }{2} \end{array}$$

where R, S ∈ 𝔹(𝓗).

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0346/pdf

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