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Approximate Birkhoff-James orthogonality in the space of bounded linear operators

Paul, Kallol and Sain, Debmalya and Mal, Arpita (2018) Approximate Birkhoff-James orthogonality in the space of bounded linear operators. In: LINEAR ALGEBRA AND ITS APPLICATIONS, 537 . pp. 348-357.

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Official URL: http://doi.org/10.1016/j.laa.2017.10.008

Abstract

There are two notions of approximate Birkhoff-James orthogonality in a normed space. We characterize both the notions of approximate Birkhoff-James orthogonality in the space of bounded linear operators defined on a normed space. A complete characterization of approximate Birkhoff-James orthogonality in the space of bounded linear operators defined on Hilbert space of any dimension is obtained which improves on the recent result by Chmielinski et al. (2017) 4], in which they characterized approximate Birkhoff-James orthogonality of linear operators on finite dimensional Hilbert space and also of compact operators on any Hilbert space. (C) 2017 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 07 Dec 2017 10:38
Last Modified: 07 Dec 2017 10:38
URI: http://eprints.iisc.ac.in/id/eprint/58379

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