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

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  • Hesam Mahzoon

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.

Suggested Citation

  • Hesam Mahzoon, 2014. "Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in -Algebras," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-5, July.
    • Handle: RePEc:hin:jnljam:918107
    DOI: 10.1155/2014/918107
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