On nonlinear simultaneous approximation problems

• Autores: Tijani Pakhrou
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 105, Nº. 2, 2011, págs. 305-313
• Idioma: inglés
• DOI: 10.1007/s13398-011-0039-1
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• Resumen

  • In this paper we prove that if Y is a reflexive subspace of a Banach space X, then L∞(μ, Y) is simultaneously proximinal in L∞(μ, X). Furthermore if X is reflexive and μ0 is the restriction of μ to a sub-σ-algebra, then L∞(μ0, X) is simultaneously proximinal in L∞(μ, X). © 2011 Springer-Verlag.

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