This is an announcement for the paper "Orthogonal constant mappings in isosceles orthogonal spaces" by M. Mirzavaziri and M. S. Moslehian.

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 $f(x+y)+g(x+y)=h(x)+k(y)$.

Archive classification: Classical Analysis and ODEs; Functional Analysis

Mathematics Subject Classification: 39B55; 39B82; 39B52

Remarks: 7 pages, to appear in Kragujevac Math. J

The source file(s), OrtCons_final.tex: 15092 bytes, is(are) stored in gzipped form as 0604463.gz with size 5kb. The corresponding postcript file has gzipped size 40kb.

Submitted from: moslehian@ferdowsi.um.ac.ir

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http://arXiv.org/abs/math.CA/0604463

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