Norm-parallelism and the Davis--Wielandt radius of Hilbert space operators
Functional Analysis
2021-07-23 v1 Operator Algebras
Abstract
We present a necessary and sufficient condition for the norm-parallelism of bounded linear operators on a Hilbert space. We also give a characterization of the Birkhoff--James orthogonality for Hilbert space operators. Moreover, we discuss the connection between norm-parallelism to the identity operator and an equality condition for the Davis--Wielandt radius. Some other related results are also discussed.
Keywords
Cite
@article{arxiv.1811.00440,
title = {Norm-parallelism and the Davis--Wielandt radius of Hilbert space operators},
author = {A. Zamani and M. S. Moslehian and M. T. Chien and H. Nakazato},
journal= {arXiv preprint arXiv:1811.00440},
year = {2021}
}
Comments
11 pages, to appear in Linear Multilinear Algebra