Título:
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Where do homogeneous polynomials on ln1 attain their norm?
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Autores:
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Villanueva, Ignacio ;
Pérez García, David
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2004-03-01
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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/openAccess
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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 matemático
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Tipo = Artículo
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Resumen:
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Using a ‘reasonable’ measure in , the space of 2-homogeneous polynomials on ?1n, we show the existence of a set of positive (and independent of n) measure of polynomials which do not attain their norm at the vertices of the unit ball of ?1n. Next we prove that, when n grows, almost every polynomial attains its norm in a face of ‘low’ dimension.
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En línea:
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https://eprints.ucm.es/id/eprint/11658/1/2004wheredohomogeneous.pdf
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