doiSerbia

Moore-Penrose inverse in indefinite inner product spaces

Radojević Ivana M. (Technical Faculty, Bor)
Đorđević Dragan S. (Faculty of Sciences and Mathematics, Department of Mathematics, Niš)

We present the definition and some properties for the Moore-Penrose inverse in possibly degenerate indefinite inner product spaces. The extensions of appropriate results, given for matrices in Euclidean and nondegenerate indefinite inner product spaces are established. All this is done by using the concept of linear relations.

Keywords: Moore-Penrose inverse, indefinite inner product, adjoint, linear relation

Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. 174007