Roy, S and Bagchi, S and Sain, D (2022) Birkhoff–James Orthogonality in Complex Banach Spaces and Bhatia–Šemrl Theorem Revisited. In: Mediterranean Journal of Mathematics, 19 (2).
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Official URL: https://doi.org/10.1007/s00009-022-01979-7
Abstract
We explore Birkhoff–James orthogonality of two elements in a complex Banach space using the directional approach. Our investigation illustrates the geometric distinctions between a smooth point and a non-smooth point in a complex Banach space. As a concrete outcome of our study, we obtain a new proof of the Bhatia–Šemrl Theorem on orthogonality of linear operators.
Item Type: | Journal Article |
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Publication: | Mediterranean Journal of Mathematics |
Publisher: | Birkhauser |
Additional Information: | The copyright for this article belongs to the Birkhauser. |
Keywords: | Bhatia–Šemrl theorem; Birkhoff–James orthogonality; complex Banach spaces; smoothness; Toeplitz–Hausdorff theorem |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 24 Jun 2022 12:10 |
Last Modified: | 24 Jun 2022 12:10 |
URI: | https://eprints.iisc.ac.in/id/eprint/73710 |
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