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K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module

dc.creatorEl amrani, Abdelkhalek
dc.creatorRossafi, Mohamed
dc.creatorEl Krouk, Tahar
dc.date2023-09-13
dc.date.accessioned2023-09-22T12:43:15Z
dc.date.available2023-09-22T12:43:15Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5713
dc.identifier10.22199/issn.0717-6279-5713
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/234461
dc.descriptionThis paper is devoted to studying the K-Riesz bases and the K-g-Riesz bases in Hilbert C∗-modules; we characterize the concept of K-Riesz bases by a bounded below operator and the standard orthonormal basis for Hilbert C∗-modules H. Also We give some properties and characterization of K-g-Riesz bases by a bounded surjective operator and g-orthonormal basis for H. Finally we consider the relationships between K-Riesz bases and K-g-Riesz bases.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5713/4369
dc.rightsCopyright (c) 2023 Abdelkhalek El amrani, Mohamed Rossafi, Tahar El Krouken-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 42 No. 5 (2023); 1241-1260en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 42 Núm. 5 (2023); 1241-1260es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2023-05
dc.subjectRiesz basesen-US
dc.subjectK-Riesz basesen-US
dc.subjectK-g-Riesz basesen-US
dc.subjectC∗-algebraen-US
dc.subjectHilbert C∗-moduleen-US
dc.subject42C15en-US
dc.titleK-Riesz bases and K-g-Riesz bases in Hilbert C∗-moduleen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typetexten-US


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