Published September 1, 2022 | Version v1
Publication Open

On Some Numerical Radius Inequalities Involving Generalized Aluthge Transform

Creators

  • 1. Khwaja Fareed University of Engineering and Information Technology
  • 2. Ghazi University
  • 3. King Abdulaziz University
  • 4. Gono University

Description

Let S be any bounded linear operator defined on a complex Hilbert space H . In this paper, we present some numerical radius inequalities involving the generalized Aluthge transform to attain upper bounds for numerical radius. Numerical computations are carried out for some particular cases of generalized Aluthge transform.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

لنفترض أن S هي أي عامل خطي محدد على مساحة Hilbert H المعقدة. في هذه الورقة، نقدم بعض متباينات نصف القطر العددي التي تنطوي على تحويل Aluthge المعمم للوصول إلى الحدود العليا لنصف القطر العددي. يتم إجراء الحسابات العددية لبعض الحالات الخاصة من تحويل Aluthge المعمم.

Translated Description (French)

Soit S tout opérateur linéaire borné défini sur un espace complexe de Hilbert H. Dans cet article, nous présentons quelques inégalités de rayon numérique impliquant la transformée d'Aluthge généralisée pour atteindre les limites supérieures du rayon numérique. Des calculs numériques sont effectués pour certains cas particuliers de transformée d'Aluthge généralisée.

Translated Description (Spanish)

Sea S cualquier operador lineal acotado definido en un espacio de Hilbert complejo H. En este artículo, presentamos algunas desigualdades numéricas de radio que involucran la transformada de Aluthge generalizada para alcanzar los límites superiores para el radio numérico. Se realizan cálculos numéricos para algunos casos particulares de transformada de Aluthge generalizada.

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Additional details

Additional titles

Translated title (Arabic)
في بعض متباينات نصف القطر العددي التي تنطوي على تحويل مصحح معمم
Translated title (French)
Sur certaines inégalités de rayon numérique impliquant une transformation d'aluthge généralisée
Translated title (Spanish)
En algunas desigualdades numéricas de radio que implican una transformación de Aluthge generalizada

Identifiers

Other
https://openalex.org/W4294000644
DOI
10.1155/2022/8525804

Is supplement to
https://openalex.org/W4297797135 (Other)
https://openalex.org/W2616801909 (Other)
https://openalex.org/W2613430892 (Other)
https://openalex.org/W2278611972 (Other)
https://openalex.org/W2269650322 (Other)
https://openalex.org/W2166492445 (Other)
https://openalex.org/W2141474714 (Other)
https://openalex.org/W2053267586 (Other)
https://openalex.org/W2015370161 (Other)
https://openalex.org/W2006504135 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

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