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Remarks on orthogonality preserving mappings in normed spaces and some stability problems. (English) Zbl 1135.46006

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:

46B20 Geometry and structure of normed linear spaces
46C50 Generalizations of inner products (semi-inner products, partial inner products, etc.)
39B82 Stability, separation, extension, and related topics for functional equations
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