Matrix characterizations of Lipschitz operators on Banach spaces over Krull valued fields

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dc.contributor.authorOchsenius, H.
dc.contributor.authorSchikhof, W. H.
dc.date.accessioned2024-01-10T12:06:32Z
dc.date.available2024-01-10T12:06:32Z
dc.date.issued2007
dc.description.abstractLet K be a complete infinite rank valued field and E a K-Banach space with a countable orthogonal base. In [9] and [10] we have studied bounded (called Lipschitz) operators on E and introduced the notion of a strictly Lipschitz operator. Here we characterize them, as well as compact and nuclear operators, in terms of their (infinite) matrices. This results provide new insights and also useful criteria for constructing operators with given properties.
dc.fechaingreso.objetodigital2024-05-23
dc.format.extent20 páginas
dc.fuente.origenWOS
dc.identifier.doi10.36045/bbms/1179839213
dc.identifier.issn1370-1444
dc.identifier.urihttps://doi.org/10.36045/bbms/1179839213
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76174
dc.identifier.wosidWOS:000248792900001
dc.information.autorucMatemática;Ochsenius H;S/I;315
dc.issue.numero2
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final212
dc.pagina.inicio193
dc.publisherBELGIAN MATHEMATICAL SOC TRIOMPHE
dc.revistaBULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
dc.rightsacceso abierto
dc.subjectLipschitz operators
dc.subjectHilbert spaces
dc.subjectKrull valued fields
dc.subjectHILBERT-SPACES
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleMatrix characterizations of Lipschitz operators on Banach spaces over Krull valued fields
dc.typeartículo
dc.volumen14
sipa.codpersvinculados315
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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