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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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
Publication:	LINEAR ALGEBRA AND ITS APPLICATIONS
Publisher:	Elsevier Inc.
Additional Information:	The copyright of this article belongs to the Authors.
Keywords:	Approximate Birkhoff–James orthogonality; Bounded linear operator
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	07 Dec 2017 10:38
Last Modified:	26 Jul 2022 06:58
URI:	https://eprints.iisc.ac.in/id/eprint/58379

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