On Linear mappings in Krein spaces that preserve orthogonality Sisilia Sylviani (a*), Pudji Astuti (a), and Hanni Garminia (a)
(a) Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
Jl. Ganesha no.10 Bandung 40132, Indonesia
*sisilia.sylviani[at]s.itb.ac.id
Abstract
The problem of linear mappings that preserves orthogonality is an interesting topic to be investigated. A mapping is said to preserve orthogonality if any two orthogonal elements in the domain, their images are also orthogonal. In 2015 Wojcik developed some results by Chmielinski in 2005 relating to linear mapping that preserves orthogonality in the inner product space. Wojcik characterizes linear mappings which preserve relating to sesquilinear and semi-inner product forms. Based on the results of Wojcik^s research, this presentation will discuss some feature of mappings in Krein spaces that preserve orthogonality.
Keywords: inner product spaces, Krein spaces, linear mapping, orthogonality preserving
