Norm Inequalities for Inner Product Type Integral Transformers

2019/04/03 by Benard Okelo, Okelo, Benard
Computer Science · Mathematics · #46B20 #47L05 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1904.02078

openalex publication_date 2019/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a detailed survey on norm inequalities for inner product type integral transformers. We first consider unitarily invariant norms and operator valued functions. We then give results on norm inequalities for inner product type integral transformers in terms of Landau inequality, Gr" uss inequality. Lastly, we explore some of the applications in quantum theory.

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