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 .

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Abstract

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

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