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http://hdl.handle.net/10662/16829
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Campo DC | Valor | idioma |
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dc.contributor.author | Duggal, B.P. | - |
dc.date.accessioned | 2023-02-16T08:16:37Z | - |
dc.date.available | 2023-02-16T08:16:37Z | - |
dc.date.issued | 2005 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/16829 | - |
dc.description.abstract | A Banach space operator 𝑇 𝜖 B(𝒳) is said to be hereditarily normaloid, 𝑇 𝜖 HN, if every part of 𝑇 is normaloid; 𝑇 𝜖 HN is totally hereditarily normaloid, 𝑇 𝜖 𝑇 HN, if every invertible part of 𝑇 is also normaloid; and 𝑇 𝜖 CHN if either 𝑇 𝜖 𝑇 HN or 𝑇 ―¸λI is in HN for every complex number ¸. Class CHN is large; it contains a number of the commonly considered classes of operators. We study operators 𝑇 𝜖 CHN, and prove that the Riesz projection associated with a λ¸ 𝜖 isoσ( 𝑇), 𝑇 𝜖 CHN ∩\ B(H) for some Hilbert space H, is self-adjoint if and only if (𝑇―λ I ¯¹(0) ⊆ (𝑇 *― λ I)¯¹(0). Operators 𝑇 𝜖 CHN have the important property that both 𝑇 and the conjugate operator 𝑇 * have the single-valued extension property at points ¸ which are not in the Weyl spectrum of 𝑇; we exploit this property to prove a-Browder and a-Weyl theorems for operators 𝑇 𝜖CHN. | es_ES |
dc.format.extent | 15 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Teorema de Weyl | es_ES |
dc.subject | Espacio de Banach | es_ES |
dc.subject | Propiedad de extensión de un solo valor | es_ES |
dc.subject | Operadores normaloides | es_ES |
dc.subject | Operadores paranormales y *-paranormales | es_ES |
dc.subject | Banach space | es_ES |
dc.subject | Weyl’s theorem | es_ES |
dc.subject | Single valued extension property | es_ES |
dc.subject | Hereditarily normaloid operators | es_ES |
dc.subject | paranormal and *-paranormal operators | es_ES |
dc.title | Hereditarily normaloid operators | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.03 Álgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1201 Álgebra | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | DUGGAL, B.P. (2005). Hereditarily normaloid operators. Extracta Mathematicae, 20 (2), 203-217. E-ISSN 2605-5686 | es_ES |
dc.type.version | acceptedVersion | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 203 | es_ES |
dc.identifier.publicationlastpage | 217 | es_ES |
dc.identifier.publicationvolume | 20 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 20, nº 2 (2005) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_20_2_203_abstract.pdf | 69,04 kB | Adobe PDF | Descargar | |
2605-5686_20_2_203.pdf | 1,61 MB | Adobe PDF | Descargar |
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