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Title: Interpolative ideal procedures, interpolation, and applications to approximation quantities
Authors: Piotrowski, Mariusz 
Keywords: Banach ideals; Approximation numbers; Interpolation
Issue Date: 2006
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 06-11 (2006)
Abstract: This paper deals with a generalization of a certain interpolative procedure introduced by U. Matter [9] by which from given Banach ideals A and B a new scale of Banach ideals (A,B)' is generated. In particular we elaborate the connection of our construction to interpolation theory. As an application we consider the ideal of (p,')-absolutely continuous operators which occurs when A is the class of p-summing operators and B is the class of all operators. We characterize (p,')-absolutely continuous operators by a special factorization property through a suitable interpolation space. We also give some applications to approximation quantities and entropy numbers.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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