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Título:
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Best possible Compactness Results of Lions-Peetre Type
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Autores:
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Cobos, Fernando ;
Cwikel, M. ;
Matos, P.
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge Univ Press, 2001
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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If T : A0 ! B boundedly and T : A1 ! B compactly, then a result of Lions{Peetre shows that T : A ! B compactly for a certain class of spaces A which are intermediate with respect to A0 and A1. We investigate to what extent such results can hold for arbitrary intermediate spaces A. The `dual' case of an operator S such that S : X ! Y0 boundedly and S : X ! Y1 compactly, is also considered,
as well as similar questions for other closed operator ideals.
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En línea:
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https://eprints.ucm.es/id/eprint/15165/1/24.pdf
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