Sain, Debmalya and Paul, Kallol and Mal, Arpita (2019) On Approximate Birkhoff-James Orthogonality and Normal Cones in a Normed Space. In: JOURNAL OF CONVEX ANALYSIS, 26 (1). pp. 341-351.
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Official URL: https://www.heldermann.de/JCA/JCA26/JCA261/jca2601...
Abstract
We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric point of view, and characterize them in terms of normal cones. We further explore the interconnection between normal cones and approximate Birkhoff-James orthogonality to obtain a complete characterization of normal cones in a two-dimensional smooth Banach space. We also obtain a uniqueness theorem for approximate Birkhoff-James orthogonality set in a normed space.
| Item Type: | Journal Article |
|---|---|
| Publication: | JOURNAL OF CONVEX ANALYSIS |
| Publisher: | HELDERMANN VERLAG |
| Additional Information: | copyright for this article belongs to HELDERMANN VERLAG |
| Keywords: | Approximate Birkhoff-James orthogonality; normal cones |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 29 Nov 2019 10:24 |
| Last Modified: | 26 Aug 2022 09:44 |
| URI: | https://eprints.iisc.ac.in/id/eprint/64022 |
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