2-HILBERT C*-MODULES AND SOME GRUSS' TYPE INEQUALITIES IN A-2-INNER PRODUCT SPACES

摘要

In this paper we generalize the concept of complex valued 2-inner product to A-valued 2-inner product, where A is a C* -algebra. We define and study the notion of A-valued 2-inner product on right A-module E (E is a linear space) and by new definition, some Gruss type inequalities are given.