On Some Approximate Functional Relations Stemming from Orthogonality Preserving Property

  • JACEK CHMIELIŃSKI, INSTYTUT MATEMATYKI, AKADEMIA PEDAGOGICZNA, Kazimierz Nikodem
  • Published 2006

Abstract

Referring to previous papers on orthogonality preserving mappings we deal with some relations, connected with orthogonality, which are preserved exactly or approximately. In particular, we investigate the class of mappings approximately preserving the right-angle. We show some properties similar to those characterizing mappings which exactly preserve the rightangle. Besides, some kind of stability of the considered property is established. We study also the property that a particular value c of the inner product is preserved. We compare the case c 6= 0 with c = 0, i.e., with orthogonality preserving property. Also here some stability results are given.

Cite this paper

@inproceedings{CHMIELISKI2006OnSA, title={On Some Approximate Functional Relations Stemming from Orthogonality Preserving Property}, author={JACEK CHMIELIŃSKI and INSTYTUT MATEMATYKI and AKADEMIA PEDAGOGICZNA and Kazimierz Nikodem}, year={2006} }