학술논문
A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
Document Type
Working Paper
Author
Source
J. Operator Theory 80 (2018) no.2, 399-413
Subject
Language
Abstract
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete characterization of Birkhoff-James orthogonality of bounded linear operators on infinite dimensional real normed linear spaces. As an application of the results obtained, we prove a simple but useful characterization of Birkhoff-James orthogonality of bounded linear functionals defined on a real normed linear space, provided the dual space is strictly convex. We also provide separate necessary and sufficient conditions for smoothness of bounded linear operators on infinite dimensional normed linear spaces.