New estimates for numerical radius in C^*-algebras

2024/05/25 by Ali Zamani, Zamani, Ali
Mathematics · #46L05 #46L08 #47A12 #47A30 #47A63 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2405.16212

openalex publication_date 2024/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Several numerical radius inequalities in the framework of C^*-algebras are proved in this paper. These results, which are based on an extension of Buzano inequality for elements in a pre-Hilbert C^*-module, generalize earlier numerical radius inequalities.

Related

• An extension of the a-numerical radius on C^*-algebras
• Characterization of numerical radius parallelism in C^*-algebras
• Numerical radius in Hilbert C^*-modules
• Upper bounds of numerical radius and a-numerical radius in C^*-algebra setting using Orlicz functions
• Numerical radius orthogonality in C^*-algebras