Characterization of orthogonality preserving mappings in indefinite inner product spaces
Sisilia Sylviani, Hanni Garminia, P. Astuti · Journal of Mathematics and Computer Science · 2021
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].