Linear mappings approximately preserving p*-orthogonality.

AuthorsM. Dehghani and A. Zamani
JournalIndag. Math. (N.S.)
Page number992-1001
Serial number5
Volume number28
IF0.846
Paper TypeOriginal Research
Published At2017
Journal GradeISI (WOS)
Journal TypeElectronic
Journal CountryNetherlands

Abstract

  We define the concept of approximate

p*-orthogonality preserving mapping between normed linear spaces and give some characterizations for a linear mapping to be approximately p*-orthogonality preserving. Moreover, we show that every approximately P*-orthogonality preserving linear mapping is necessarily a scalar multiple of an almost isometry.

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