Orthogonality Preserving Property and its Ulam Stability

Jacek Chmieliński ()
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Jacek Chmieliński: Uniwersytet Pedagogiczny w Krakowie

Chapter Chapter 4 in Functional Equations in Mathematical Analysis, 2011, pp 33-58 from Springer

Abstract: 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.

Keywords: Orthogonality; Birkhoff orthogonality; Isosceles-orthogonality; Approximate orthogonality; Orthogonality preserving property; Right-angle preserving property; Linear preservers; Stability; Orthogonality equation; Wigner equation; Inner product spaces; Hilbert modules; Normed spaces; Semi-innner product; Norm derivatives; Isometric mappings; Approximate isometry (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_4

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DOI: 10.1007/978-1-4614-0055-4_4

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