Interpolative ideal procedures, interpolation, and applications to approximation quantities
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 applic...
| Autor principal: | |
|---|---|
| Formato: | other |
| Idioma: | eng |
| Publicado em: |
2006
|
| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10316/11368 |
| País: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11368 |
| Resumo: | 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. |
|---|