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

Abstract EN

We study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution and C*-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.