Some Gruss type inequalities for Frechet differentiable mappings

2019/08/14 by Teimouri Azadbakht, Azadbakht, Teimouri, A. G. Ghazanfari +2
Mathematics · #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #math.FA

paper · pdf · doi:10.48550/arxiv.1908.05326

arxiv created 2019/08/14 · arxiv updated 2019/08/16

Abstract

Let X be a Hilbert C^*-module on C^*-algebra A and p in A. We denote by Dp(A;X) the set of all continuous functions f on A, which are Frechet differentiable on a open neighborhood U of p. Then, we introduce some generalized semi-inner products on Dp(A;X), and using them some Gruss type inequalities in semi-inner product C^*-module Dp(A;X) and Dp(A;Xⁿ) are established.

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