Weighted dual covariance Moore-Penrose inverses with respect to an invertible element in \(C^*\)-algebras (Q2336825)

Summary: 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 that weighted dual covariance sets are invariant under the bijection multiplicative \(*\)-functions.