Remarks on orthogonality preserving mappings in normed spaces and some stability problems

Jacek Chmielinski

doi:10.15352/bjma/1240321561

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Home > Journals > Banach J. Math. Anal. > Volume 1 > Issue 1 > Article

2007 Remarks on orthogonality preserving mappings in normed spaces and some stability problems

Jacek Chmielinski

Banach J. Math. Anal. 1(1): 117-124 (2007). DOI: 10.15352/bjma/1240321561

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Abstract

We consider the Birkhoff-James orthogonality in normed spaces and classes of linear mappings exactly and approximately preserving this relation. Some related stability problems are posed.

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Jacek Chmielinski. "Remarks on orthogonality preserving mappings in normed spaces and some stability problems." Banach J. Math. Anal. 1 (1) 117 - 124, 2007. https://doi.org/10.15352/bjma/1240321561

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Published: 2007

First available in Project Euclid: 21 April 2009

zbMATH: 1135.46006

MathSciNet: MR2350200

Digital Object Identifier: 10.15352/bjma/1240321561

Subjects:

Primary: 46B20

Secondary: 39B82 , 46C50

Keywords: approximate orthogonality , Birkhoff-James Orthogonality , mappings preserving orthogonality , semi-inner-product , stability

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Jacek Chmielinski "Remarks on orthogonality preserving mappings in normed spaces and some stability problems," Banach Journal of Mathematical Analysis, Banach J. Math. Anal. 1(1), 117-124, (2007)

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