ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Local Approximate Symmetry of Birkhoff�James Orthogonality in Normed Linear Spaces

Chmieli�ski, J and Khurana, D and Sain, D (2021) Local Approximate Symmetry of Birkhoff�James Orthogonality in Normed Linear Spaces. In: Results in Mathematics, 76 (3).

res_in_mat_76-3_2021.pdf - Published Version

Download (1MB) | Preview
Official URL: https://doi.org/10.1007/s00025-021-01437-y


Two different notions of approximate Birkhoff�James orthogonality in normed linear spaces have been introduced by Dragomir and Chmieli�ski. In the present paper we consider a global and a local approximate symmetry of the Birkhoff�James orthogonality related to each of the two definitions. We prove that the considered orthogonality is approximately symmetric in the sense of Dragomir in all finite-dimensional Banach spaces. For the other case, we prove that for finite-dimensional polyhedral Banach spaces, the approximate symmetry of the orthogonality is equivalent to some newly introduced geometric property. Our investigations complement and extend the scope of some recent results on a global approximate symmetry of the Birkhoff�James orthogonality. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Item Type: Journal Article
Publication: Results in Mathematics
Publisher: Birkhauser
Additional Information: The copyright for this article belongs to the authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 02 Aug 2021 06:31
Last Modified: 02 Aug 2021 06:31
URI: http://eprints.iisc.ac.in/id/eprint/69045

Actions (login required)

View Item View Item