Date: 13 Aug 2011

Orthogonality Preserving Property and its Ulam Stability

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Abstract

We survey the results concerning the preservation (exact and approximate) of various types of orthogonality relations. We focus on the stability of the orthogonality preserving property. Our considerations are carried out in spaces with inner product structure as well as in normed spaces. Some related topics are also discussed.

Mathematics Subject Classification (2010): Primary 46B20, 47B49, 15A86, 39B52, 39B82