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Some Gruss type inequalities for Frechet differentiable mappings (1908.05326v1)
Published 14 Aug 2019 in math.FA
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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