Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 24, Number 1 (2020), 119-130.
On Orthogonality of Elementary Operators in Norm-attainable Classes
Various notions of orthogonality of elementary operators have been characterized by many mathematicians in different classes. In this paper, we characterize orthogonality of these operators in norm-attainable classes. We first give necessary and sufficient conditions for norm-attainability of Hilbert space operators then we give results on orthogonality of the range and the kernel of elementary operators when they are implemented by norm-attainable operators in norm-attainable classes.
Taiwanese J. Math., Volume 24, Number 1 (2020), 119-130.
Received: 22 September 2018
Revised: 12 April 2019
Accepted: 1 May 2019
First available in Project Euclid: 7 May 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47B47: Commutators, derivations, elementary operators, etc.
Secondary: 47A30: Norms (inequalities, more than one norm, etc.)
Okelo, Nyaare Benard. On Orthogonality of Elementary Operators in Norm-attainable Classes. Taiwanese J. Math. 24 (2020), no. 1, 119--130. doi:10.11650/tjm/190502. https://projecteuclid.org/euclid.twjm/1557194426