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Approximate orthogonality in complex normed spaces: a directional approach

Roy, S and Sain, D (2022) Approximate orthogonality in complex normed spaces: a directional approach. In: Linear and Multilinear Algebra .

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Official URL: https://doi.org/10.1080/03081087.2022.2042175

Abstract

We introduce and study the notion of approximate directional orthogonality in a complex normed space. We further explore the relevant scenario in the topological setting, which allows us to characterize approximate Birkhoff�James orthogonality of operators on a finite-dimensional complex Banach space. Our investigation extends some existing results in the literature to a broader scope. © 2022 Informa UK Limited, trading as Taylor & Francis Group.

Item Type: Journal Article
Publication: Linear and Multilinear Algebra
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to Taylor and Francis Ltd.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 18 Mar 2022 11:55
Last Modified: 18 Mar 2022 11:55
URI: http://eprints.iisc.ac.in/id/eprint/71588

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