Kantorovich Type Integral Inequalities for Tensor Product of Continuous\n Fields of Hilbert Space Operators

2015/09/17 by Pattrawut Chansangiam, Chansangiam, Pattrawut
Computer Science · Mathematics · #26D15 #47A63 #47A64 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1509.05306

openalex publication_date 2015/09/17 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

This paper presents a number of Kantorovich type integral inequalities\ninvolving tensor products of continuous fields of bounded linear operators on a\nHilbert space. Kantorovich type inequality in which the product is replaced by\nan operator mean is also considered. Such inequalities include discrete\ninequalities as special cases. Moreover, some generalizations of an additive\nGruss integral inequality for operators are obtained.\n

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