Inequalities for the Davis-Wielandt Radius of Operators in Hilbert C∗-Modules Space

The content of this paper presents a fresh method of studying the Davis–Wielandt radius of bounded operators on Hilbert C∗-modules. Using this method, we arrive at new results that improve upper and lower bounds for the Davis-Wielandt radius and generalize known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert C∗-module spaces.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2024-10-31
DOI
https://doi.org/10.28924/2291-8639-22-2024-196
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

Inequalities for the Davis-Wielandt Radius of Operators in Hilbert C∗-Modules Space

Nordine Bounader, Mohammed Hassaouy
International Journal of Analysis and Applications
Spectral Theory in Mathematical Physics
article

Inequalities for the Davis-Wielandt Radius of Operators in Hilbert C∗-Modules Space

Nordine Bounader, Mohammed Hassaouy
article en

Abstract

The content of this paper presents a fresh method of studying the Davis–Wielandt radius of bounded operators on Hilbert C∗-modules. Using this method, we arrive at new results that improve upper and lower bounds for the Davis-Wielandt radius and generalize known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert C∗-module spaces.

International Journal of Analysis and ApplicationsVol. 22
Université Ibn-Tofail (MA)
Reduced inequalities
Openalex Percentile: Top 68%
Spectral Theory in Mathematical Physics
DOIOpen Access PDFOpenAlex
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Inequalities for the Davis-Wielandt Radius of Operators in Hilbert C∗-Modules Space — Nordine Bounader, Mohammed Hassaouy · International Journal of Analysis and Applications (2024) | TGRS Research Map | TGRS