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Approximate Orthogonal Preserving Mappings on <sup>C</sup>-Semi-inner Product Space


Murtala Umar
Abor I. Garba

Abstract

In this research work, we study Birkhoff-James orthogonality in an arbitrary normed linear space X , and establish the orthogonal preserving mapping in C*-semi-inner product space. It has been observed that every mapping that preserves orthogonality is necessarily a scalar multiple of an isometry. We finally introduce approximate orthogonality and investigate this notion in C*-semi-inner product space.


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eISSN: 2705-3121
print ISSN: 2705-313X