Measures on the product of compact spaces
If K is an uncountable metrizable compact space, we prove a ‘factorization’ result for a wide variety of vector valued Borel measures μ defined on Kn. This result essentially says that for every such measure μ there exists a measure μ0 defined on K such that the measure μ of a product A1 ו • •×An o...
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| Formato: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/56942 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/56942 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517 Uncountable metrizable compact space Vector valued measures Análisis matemático 1202 Análisis y Análisis Funcional |
| Resumo: | If K is an uncountable metrizable compact space, we prove a ‘factorization’ result for a wide variety of vector valued Borel measures μ defined on Kn. This result essentially says that for every such measure μ there exists a measure μ0 defined on K such that the measure μ of a product A1 ו • •×An of Borel sets of K equals the measure μ0 of the intersection A01 \• • •\A0n, where the A0j’s are certain transforms of the Ai’s. |
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