ABSTRACT
We investigate some aspects of various numerical radius orthogonalities and numerical radius parallelism for bounded linear operators on a Hilbert space . Among several results, we show that if and , then if and only if , where , and is the numerical radius of T and is the numerical radius Birkhoff orthogonality.
2010 Mathematics Subject Classifications:
Acknowledgements
The authors would like to thank the referees for their comments that helpedus improve this article.
Disclosure statement
No potential conflict of interest was reported by the author(s).