We study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution and -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.
Hesam Mahzoon. "Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in -Algebras." J. Appl. Math. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/918107