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

Publication date: 17 September 2015

Abstract: This paper presents a number of Kantorovich type integral inequalities involving tensor products of continuous fields of bounded linear operators on a Hilbert space. Kantorovich type inequality in which the product is replaced by an operator mean is also considered. Such inequalities include discrete inequalities as special cases. Moreover, some generalizations of an additive Gruss integral inequality for operators are obtained.

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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