Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element inC*-Algebras

[摘要] We study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution andC*-algebras. Moreover, we show that the weighted dual covariance set, seen as a multivalued map, has some kind of continuity. Also, we prove weighed dual covariance set invariant under the bijection multiplicative*-functions.

[学科分类] 应用数学