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

Authors

Arpita Mal, Jadavpur University
Kallol Paul, Jadavpur University
T. S.S.R.K. Rao, Indian Statistical Institute Bangalore
Debmalya Sain, Indian Institute of Science

Article Type

Research Article

Publication Title

Monatshefte fur Mathematik

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.

First Page

549

Last Page

558

DOI

10.1007/s00605-019-01289-3

Publication Date

11-1-2019

Comments

Open Access, Green

Recommended Citation

Mal, Arpita; Paul, Kallol; Rao, T. S.S.R.K.; and Sain, Debmalya, "Approximate Birkhoff–James orthogonality and smoothness in the space of bounded linear operators" (2019). Journal Articles. 649.
https://digitalcommons.isical.ac.in/journal-articles/649