Summability Properties for Multiplication Operators on Banach Function Spaces
Consider a couple of Banach function spaces X and Y over the same measure space and the space XY of multiplication operators from X into Y . In this paper we develop the setting for characterizing certain summability properties satisfied by the elements of XY . At this end, using the “generalized K¨...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/103774 |
| Acceso en línea: | https://hdl.handle.net/11441/103774 https://doi.org/10.1007/s00020-010-1741-7 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach function space Köthe dual and generalized dual spaces Product spaces Multiplication operators Summability properties |
| Sumario: | Consider a couple of Banach function spaces X and Y over the same measure space and the space XY of multiplication operators from X into Y . In this paper we develop the setting for characterizing certain summability properties satisfied by the elements of XY . At this end, using the “generalized K¨othe duality” for Banach function spaces, we introduce a new class of norms for spaces consisting of infinite sums of products of the type xy with x ∈ X and y ∈ Y . |
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