Sen, J and Sain, D and Paul, K (2021) Orthogonality and norm attainment of operators in semi-Hilbertian spaces. In: Annals of Functional Analysis, 12 (1).
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Abstract
We study the semi-Hilbertian structure induced by a positive operator A on a Hilbert space H. Restricting our attention to A- bounded positive operators, we characterize the norm attainment set and also investigate the corresponding compactness property. We obtain a complete characterization of the A- Birkhoff�James orthogonality of A- bounded operators under an additional boundedness condition. This extends the finite-dimensional Bhatia-S� emrl Theorem verbatim to the infinite-dimensional setting. © 2020, Tusi Mathematical Research Group (TMRG).
| Item Type: | Journal Article |
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| Publication: | Annals of Functional Analysis |
| Publisher: | Birkhauser |
| Additional Information: | Copyright to this article belongs to Birkhauser |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 12 Feb 2021 06:23 |
| Last Modified: | 12 Feb 2021 06:23 |
| URI: | http://eprints.iisc.ac.in/id/eprint/67164 |
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