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Campo DC | Valor | idioma |
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dc.contributor.author | Bandyopadhyay, Pradipta | - |
dc.contributor.author | Roy, Ashoke K. | - |
dc.date.accessioned | 2022-10-03T11:39:52Z | - |
dc.date.available | 2022-10-03T11:39:52Z | - |
dc.date.issued | 2007 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/15602 | - |
dc.description.abstract | Let 𝓁 be a linear functional on a subspace 𝑌 of a real linear space 𝑋 provided with a sublinear functional 𝑝 with 𝓁 ≤ 𝑝 on 𝑌. If 𝒢 is an abelian semigroup of linear transformations 𝑇: 𝑋 →𝑋 such that 𝑇(𝑌 ) ⊆ 𝑌 𝑝 (𝑇𝓍) ≤ 𝑝 (𝓍) and 𝓁(𝑇𝓎) = 𝓁(𝓎) for all 𝑇 ∊ 𝒢, 𝓍 ∊ 𝑋 and 𝓎 ∊ 𝑌 respectively, then a generalization of the classical Hahn-Banach theorem asserts that there exists an extension 𝓁 of 𝓁, 𝓁 ≤ 𝑝 on 𝑋 and 𝓁` remains invariant under 𝒢. The present paper investigates various equivalent conditions for the uniqueness of such extensions and these are related to nested sequences of 𝑝-balls, a concept that has proved useful in recent years in dealing with such extensions. The results are illustrated by a variety of examples and applications. | es_ES |
dc.format.extent | 22 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 | Funcionales sublineales | es_ES |
dc.subject | Secuencias anidadas de (𝑝-) bolas | es_ES |
dc.subject | Hahn-Banach invariante extensiones | es_ES |
dc.subject | Sublinear functionals | es_ES |
dc.subject | Nested sequences of (𝑝-) balls | es_ES |
dc.subject | Invariant Hahn-Banach extensions | es_ES |
dc.title | Uniqueness of invariant Hahn-Banach extensions | 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 | 1202 Análisis y Análisis Funcional | es_ES |
dc.subject.unesco | 1204 Geometría | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | BANDYOPADHYAY, P. y ROY, A.K. (2007). Uniqueness of invariant Hahn-Banach extensions. Extracta Mathematicae, 22 (2), 93-114. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Indian Statistical Institute. India | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 93 | es_ES |
dc.identifier.publicationlastpage | 114 | es_ES |
dc.identifier.publicationvolume | 22 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 22, nº 2 (2007) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_22_2_93.pdf | 214,27 kB | Adobe PDF | Descargar |
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