English

Orthogonal Constant Mappings in Isosceles Orthogonal Spaces

Classical Analysis and ODEs 2007-05-23 v1 Functional Analysis

Abstract

In this paper we introduce the notion of orthogonally constant mapping in an isosceles orthogonal space and establish stability of orthogonally constant mappings. As an application, we discuss the orthogonal stability of the Pexiderized quadratic equation f(x+y)+g(x+y)=h(x)+k(y)f(x+y)+g(x+y)=h(x)+k(y).

Keywords

Cite

@article{arxiv.math/0604463,
  title  = {Orthogonal Constant Mappings in Isosceles Orthogonal Spaces},
  author = {M. Mirzavaziri and M. S. Moslehian},
  journal= {arXiv preprint arXiv:math/0604463},
  year   = {2007}
}

Comments

7 pages, to appear in Kragujevac Math. J

R2 v1 2026-07-22T17:34:48.402Z