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Spectral operation in locally convex algebras

dc.creatorEl Boukasmi, Driss
dc.creatorEL Kinani, Abdellah
dc.date2022-06-01
dc.date.accessioned2022-08-30T15:59:37Z
dc.date.available2022-08-30T15:59:37Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4548
dc.identifier10.22199/issn.0717-6279-4548
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/207077
dc.descriptionWe show that if A is a spectrally bounded algebra, then all functions operate spectrally on A if and only if SpAx is finite for every x ∈ A. We also prove that if A is a commutative Q-l.m.c.a, then all functions operate spectrally on A if and only if A/RadA is algebraic. Furthermore, if A is a semi-simple commutative Q-l.m.c.a. which is a Baire space, all functions operate spectrally on A if and only if it is isomorphic to Cn for some n ∈ N. A structure result concerning semi-simple commutative complete m-convex algebras of countable dimension is also given.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4548/4047
dc.rightsCopyright (c) 2022 Driss El Boukasmi, Abdellah EL Kinanien-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 41 No. 3 (2022); 683-695en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 41 Núm. 3 (2022); 683-695es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2022-03
dc.subjectspectrally bounded algebraen-US
dc.subjectQ-algebraen-US
dc.subjectl.m.c.aen-US
dc.subjectalgebraic algebraen-US
dc.subjectBaire spaceen-US
dc.subjectFourier-Gelfand transformen-US
dc.subjectalgebra of countable Hamel basisen-US
dc.subjectoperate functionen-US
dc.subjectfunction operate spectrallyen-US
dc.subject46H05en-US
dc.subject46H20en-US
dc.titleSpectral operation in locally convex algebrasen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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