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2021•Journal of Mathematics and Computer ScienceOpen access

Characterization of orthogonality preserving mappings in indefinite inner product spaces

Sisilia Sylviani, Hanni Garminia, Pudji Astutı

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Abstract

In this article we study the class of mappings in indefinite inner product spaces which preserve orthogonality. We derive characterization of orthogonality preserving mappings in indefinite inner product spaces which is a generalization of characterization of orthogonality preserving mappings in inner product spaces proposed by Chmielinski [J. Chmielinski, J. Math. Anal. Appl., \(\textbf{304}\) (2005), 158--169].

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In this article we study the class of mappings in indefinite inner product spaces which preserve orthogonality. We derive characterization of orthogonality preserving mappings in indefinite inner product spaces which is a generalization of characterization of orthogonality preserving mappings in inner product spaces proposed by Chmielinski [J. Chmielinski, J. Math. Anal. Appl., \(\textbf{304}\) (2005), 158--169].

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Available abstract

In this article we study the class of mappings in indefinite inner product spaces which preserve orthogonality. We derive characterization of orthogonality preserving mappings in indefinite inner product spaces which is a generalization of characterization of orthogonality preserving mappings in inner product spaces proposed by Chmielinski [J. Chmielinski, J. Math. Anal. Appl., \(\textbf{304}\) (2005), 158--169].

Key concepts: Inner product space, Orthogonality, Characterization (materials science), Mathematics, Product (mathematics), Pure mathematics, Geometry, Physics

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