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

A study of symmetric points in Banach spaces

Sain, D and Roy, S and Bagchi, S and Balestro, V (2020) A study of symmetric points in Banach spaces. In: Linear and Multilinear Algebra .

[img] PDF
LIN_MUL_ALG_2020.pdf - Published Version
Restricted to Registered users only

Download (1MB) | Request a copy
Official URL: https://dx.doi.org/10.1080/03081087.2020.1749541


We completely characterize the left-symmetric points, the right-symmetric points, and the symmetric points in the sense of Birkhoff-James, in a Banach space. We obtain a complete characterization of the left-symmetric (right-symmetric) points in the infinity sum of two Banach spaces, in terms of the left-symmetric (right-symmetric) points of the constituent spaces. As an application of this characterization, we explicitly identify the left-symmetric (right-symmetric) points of some well-known three-dimensional polyhedral Banach spaces. © 2020, © 2020 Informa UK Limited, trading as Taylor & Francis Group.

Item Type: Journal Article
Publication: Linear and Multilinear Algebra
Publisher: Taylor and Francis Ltd.
Additional Information: Copy right for this article belongs to Taylor and Francis Ltd.
Keywords: Birkhoff-James orthogonality; left-symmetric point; right-symmetric point; polyhedral Banach spaces
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 07 Oct 2020 09:54
Last Modified: 07 Oct 2020 09:54
URI: http://eprints.iisc.ac.in/id/eprint/65316

Actions (login required)

View Item View Item