Sain, D and Sohel, S and Ghosh, S and Paul, K (2021) On best coapproximations in subspaces of diagonal matrices. In: Linear and Multilinear Algebra .
Full text not available from this repository.Abstract
We characterize the best coapproximation(s) to a given matrix T out of a given subspace (Formula presented.) of the space of diagonal matrices (Formula presented.), by using Birkhoff-James orthogonality techniques and with the help of a newly introduced property, christened the (Formula presented.) -Property. We also characterize the coproximinal subspaces and the co-Chebyshev subspaces of (Formula presented.) in terms of the (Formula presented.) -Property. We observe that a complete characterization of the best coapproximation problem in (Formula presented.) follows directly as a particular case of our approach. © 2021 Informa UK Limited, trading as Taylor & Francis Group.
| Item Type: | Journal Article |
|---|---|
| Publication: | Linear and Multilinear Algebra |
| Publisher: | Taylor and Francis Ltd. |
| Additional Information: | The copyright for this article belongs to Taylor and Francis Ltd. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 07 Jan 2022 10:07 |
| Last Modified: | 07 Jan 2022 10:07 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70947 |
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