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

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

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 u...

Full description

Bibliographic Details
Main Author: Hesam Mahzoon
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/918107
id doaj-a2695d687d5d4d4bb0c9b657338bb83b
record_format Article
spelling doaj-a2695d687d5d4d4bb0c9b657338bb83b2020-11-25T00:37:39ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/918107918107Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-AlgebrasHesam Mahzoon0Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IranWe 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.http://dx.doi.org/10.1155/2014/918107
collection DOAJ
language English
format Article
sources DOAJ
author Hesam Mahzoon
spellingShingle Hesam Mahzoon
Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
Journal of Applied Mathematics
author_facet Hesam Mahzoon
author_sort Hesam Mahzoon
title Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
title_short Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
title_full Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
title_fullStr Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
title_full_unstemmed Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
title_sort weighted dual covariance moore-penrose inverses with respect to an invertible element in c*-algebras
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/918107
work_keys_str_mv AT hesammahzoon weighteddualcovariancemoorepenroseinverseswithrespecttoaninvertibleelementincalgebras
_version_ 1725300151371694080

Similar Items