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Orthogonality Preserving Property and its Ulam Stability

In: Functional Equations in Mathematical Analysis

Author

Listed:
  • Jacek Chmieliński

    (Uniwersytet Pedagogiczny w Krakowie)

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.

Suggested Citation

  • Jacek Chmieliński, 2011. "Orthogonality Preserving Property and its Ulam Stability," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 33-58, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0055-4_4
    DOI: 10.1007/978-1-4614-0055-4_4
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