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Orthogonality preserving property, Wigner equation, and stability

Journal of Inequalities and Applications volume 2006, Article number: 76489 (2006) Cite this article

Abstract

We deal with the stability of the orthogonality preserving property in the class of mappings phase-equivalent to linear or conjugate-linear ones. We give a characterization of approximately orthogonality preserving mappings in this class and we show some connections between the considered stability and the stability of the Wigner equation.

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Authors and Affiliations

  1. Instytut Matematyki, Akademia Pedagogiczna w Krakowie, Podchorążych 2, Kraków, 30-084, Poland

    Jacek Chmieliński

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  1. Jacek Chmieliński
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Correspondence to Jacek Chmieliński.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chmieliński, J. Orthogonality preserving property, Wigner equation, and stability. J Inequal Appl 2006, 76489 (2006). https://doi.org/10.1155/JIA/2006/76489

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  • DOI: https://doi.org/10.1155/JIA/2006/76489

Keywords

  • Preserve Mapping
  • Preserve Property
  • Wigner Equation
  • Orthogonality Preserve
  • Orthogonality Preserve Property