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https://hdl.handle.net/10316/11368
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. | URI: | https://hdl.handle.net/10316/11368 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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