Reverse order laws in C∗-algebras
✍ Scribed by Dragana S. Cvetković-Ilić; Robin Harte
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 194 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
In this paper, we offer purely algebraic necessary and sufficient conditions for reverse order laws for generalized inverses in C*algebras, extending rank conditions for matrices and range conditions for Hilbert space operators.
📜 SIMILAR VOLUMES
In this paper, we offer new necessary and sufficient conditions for the reverse order laws to hold for the weighted generalized inverses of matrices.
Some mixed-type reverse-order laws of (AB) † have been proposed and studied by Tian. In this paper, by applying the extremal rank relations of generalized Schur complements and the P-SVD of two matrices A and B, we study two kind of mixed-type reverse-order laws for (AB) (13) , obtain necessary and