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http://hdl.handle.net/10662/16829
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DC Field | Value | Language |
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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 ๐ ๐ B(๐ณ) is said to be hereditarily normaloid, ๐ ๐ HN, if every part of ๐ is normaloid; ๐ ๐ HN is totally hereditarily normaloid, ๐ ๐ ๐ HN, if every invertible part of ๐ is also normaloid; and ๐ ๐ CHN if either ๐ ๐ ๐ HN or ๐ โยธฮปI is in HN for every complex number ยธ. Class CHN is large; it contains a number of the commonly considered classes of operators. We study operators ๐ ๐ CHN, and prove that the Riesz projection associated with a ฮปยธ ๐ isoฯ( ๐), ๐ ๐ CHN โฉ\ B(H) for some Hilbert space H, is self-adjoint if and only if (๐โฮป I ยฏยน(0) โ (๐ *โ ฮป I)ยฏยน(0). Operators ๐ ๐ CHN have the important property that both ๐ and the conjugate operator ๐ * have the single-valued extension property at points ยธ which are not in the Weyl spectrum of ๐; we exploit this property to prove a-Browder and a-Weyl theorems for operators ๐ ๐CHN. | 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 extensiรณn 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 | Weylโs 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 รlgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1201 รlgebra | es_ES |
europeana.dataProvider | Universidad de Extremadura. Espaรฑa | 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 | - |
Appears in Collections: | Extracta Mathematicae Vol. 20, nยบ 2 (2005) |
Files in This Item:
File | Description | Size | Format | |
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2605-5686_20_2_203_abstract.pdf | 69,04 kB | Adobe PDF | View/Open | |
2605-5686_20_2_203.pdf | 1,61 MB | Adobe PDF | View/Open |
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