Some Grüss type inequalities for $n$-tuples of vectors in semi-inner modules

Abstract

Some Grüss type inequalities in semi-inner product modules over $C^{\ast }$-algebras and $H^{\ast }$-algebras for $n$-tuples of vectors are established. Also we give their natural applications for the approximation of the discrete Fourier and the Melin transforms in such modules.

arXiv admin note: text overlap with arXiv:math/0309354 by other authors