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Zbl 1135.46006
Chmieliński, Jacek
Remarks on orthogonality preserving mappings in normed spaces and some stability problems. (English)
[J] Banach J. Math. Anal. 1, No. 1, 117-124, electronic only (2007). ISSN 1735-8787/e

Summary: 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.
MSC 2000:
*46B20 Geometry and structure of normed spaces
46C50 Generalizations of inner products
39B82 Stability, separation, extension, and related topics

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