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.
"On Orthogonality of Elementary Operators in Norm-attainable Classes." Taiwanese J. Math. 24 (1) 119 - 130, February, 2020. https://doi.org/10.11650/tjm/190502