[Banach] Abstract of a paper by M. Mirzavaziri and M. S. Moslehian

[Dale Alspach]

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 at ferdowsi.um.ac.ir

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 http://front.math.ucdavis.edu/math.CA/0604463

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

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