Journal of Applied Mathematics
Volume 2014, Article ID 918107, 5 pages
http://dx.doi.org/10.1155/2014/918107
Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in -Algebras
Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
Received 31 May 2014; Accepted 6 July 2014; Published 16 July 2014
Academic Editor: Ferenc Hartung
Copyright © 2014 Hesam Mahzoon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.