Quadratic Weighted Geometric Mean in Hermitian Unital Banach Star-Algebras

2016/11/03 by Dragomir, Silvestru Sever
Mathematics · #47A63 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1611.02741

openalex publication_date 2016/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce the quadratic weighted geometric mean for invertible elements x, y in a Hermitian unital Banach star-algebra and provide some inequalities for this mean under various assumptions for the elements involved.

Citations

• Bounds for the normalised Jensen functional
• Young-type inequalities and their matrix analogues

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