## Taiwanese Journal of Mathematics

### On Orthogonality of Elementary Operators in Norm-attainable Classes

Nyaare Benard Okelo

#### Abstract

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.

#### Article information

Source
Taiwanese J. Math., Advance publication (2019), 12 pages.

Dates
First available in Project Euclid: 7 May 2019

https://projecteuclid.org/euclid.twjm/1557194426

Digital Object Identifier
doi:10.11650/tjm/190502

#### Citation

Okelo, Nyaare Benard. On Orthogonality of Elementary Operators in Norm-attainable Classes. Taiwanese J. Math., advance publication, 7 May 2019. doi:10.11650/tjm/190502. https://projecteuclid.org/euclid.twjm/1557194426

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