Finite dimensional Chebyshev subspaces of spaces of discontinuous functions

• Autores: Aref K. Kamal
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 7, Nº. 1, 2015, págs. 1-10
• Idioma: inglés
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• Resumen

  • In this paper the author studies the existence and the characterization of the n dimensional Chebyshev subspaces of L∞[a, b], B[a, b] and some other spaces of discontinuous functions. In the case when the space admits an n dimensional Chebyshev subspace, the author develops a complete characterization for those n dimensional Chebyshev subspaces. In the case when the space does not admit an n dimensional Chebyshev subspaces, the author proves it.