Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element inC*-Algebras
Author(s) -
Hesam Mahzoon
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/918107
Subject(s) - covariance , invertible matrix , bijection , mathematics , multiplicative function , algorithm , combinatorics , statistics , pure mathematics , mathematical analysis
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
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