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

Mal, Arpita and Paul, Kallol and Rao, T S S R K and Sain, Debmalya (2019) Approximate Birkhoff-James orthogonality and smoothness in the space of bounded linear operators. In: MONATSHEFTE FUR MATHEMATIK, 190 (3). pp. 549-558.

PDF mon_190-3_549_2019.pdf - Published Version Restricted to Registered users only Download (290kB) | Request a copy

Abstract

We study approximate Birkhoff-James orthogonality of bounded linear operators defined between normed linear spaces X and Y. As an application of the results obtained, we characterize smoothness of a bounded linear operator T under the condition that K(X, Y), the space of compact linear operators is an M-ideal in L(X, Y), the space of bounded linear operators.

Item Type:	Journal Article
Publication:	MONATSHEFTE FUR MATHEMATIK
Publisher:	SPRINGER WIEN
Additional Information:	Copyright of this article belongs to SPRINGER WIEN
Keywords:	Orthogonality; Linear operators; M-ideal; L-ideal; Smoothness
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	22 Nov 2019 09:26
Last Modified:	22 Nov 2019 09:26
URI:	http://eprints.iisc.ac.in/id/eprint/63809

Actions (login required)

View Item