Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

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Communications in Advanced Mathematical Sciences
Volume:1 Issue:2
Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Pages : 91-98

View : 64 | Download : 6

Publication Date : 2018-12-24

Article Type : Research Paper

Abstract :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.
Keywords : Range Kernel orthogonality, Elementary operator

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