Limit orders and multilinear forms on l(p) spaces

[EN] Since the concept of limit order is a useful tool to study operator ideals, we propose an analogous definition for ideals of multilinear forms. From the limit orders of some special ideals (of nuclear, integral, r-dominated and extendible multilinear forms) we derive some properties of them and...

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Detalles Bibliográficos
Autores: Carando, Daniel, Dimant, Veronica, Sevilla Peris, Pablo|||0000-0001-5222-4768
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/166258
Acceso en línea:https://riunet.upv.es/handle/10251/166258
Access Level:acceso abierto
Palabra clave:Ideals of multilinear mappings
Limit orders
MATEMATICA APLICADA
Descripción
Sumario:[EN] Since the concept of limit order is a useful tool to study operator ideals, we propose an analogous definition for ideals of multilinear forms. From the limit orders of some special ideals (of nuclear, integral, r-dominated and extendible multilinear forms) we derive some properties of them and show differences between the bilinear and n-linear cases (n ¿ 3).