Abstract/Overview
Various aspects of elementary operators have been characterized by many mathematicians. In this paper, we consider norm-attainability and orthogonality of these operators in Banach spaces. Characterizations and generalizations of norm-attainability and orthogonality are given in details. 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 Banach spaces.
Benard, O (2024). Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators. Afribary. Retrieved from https://tracking.afribary.com/works/norm-attainability-and-range-kernel-orthogonality-of-elementary-operators
Benard, Okelo "Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators" Afribary. Afribary, 04 Jun. 2024, https://tracking.afribary.com/works/norm-attainability-and-range-kernel-orthogonality-of-elementary-operators. Accessed 07 Nov. 2024.
Benard, Okelo . "Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators". Afribary, Afribary, 04 Jun. 2024. Web. 07 Nov. 2024. < https://tracking.afribary.com/works/norm-attainability-and-range-kernel-orthogonality-of-elementary-operators >.
Benard, Okelo . "Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators" Afribary (2024). Accessed November 07, 2024. https://tracking.afribary.com/works/norm-attainability-and-range-kernel-orthogonality-of-elementary-operators