Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/15602
Tรญtulos: | Uniqueness of invariant Hahn-Banach extensions |
Autores/as: | Bandyopadhyay, Pradipta Roy, Ashoke K. |
Palabras clave: | Funcionales sublineales;Secuencias anidadas de (๐-) bolas;Hahn-Banach invariante extensiones;Sublinear functionals;Nested sequences of (๐-) balls;Invariant Hahn-Banach extensions |
Fecha de publicaciรณn: | 2007 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | Let ๐ be a linear functional on a subspace ๐ of a real linear space ๐ provided with a sublinear functional ๐ with ๐ โค ๐ on ๐. If ๐ข is an abelian semigroup of linear transformations ๐: ๐ โ๐ such that ๐(๐ ) โ ๐ ๐ (๐๐) โค ๐ (๐) and ๐(๐๐) = ๐(๐) for all ๐ โ ๐ข, ๐ โ ๐ and ๐ โ ๐ respectively, then a generalization of the classical Hahn-Banach theorem asserts that there exists an extension ๐ of ๐, ๐ โค ๐ on ๐ and ๐` remains invariant under ๐ข. The present paper investigates various equivalent conditions for the uniqueness of such extensions and these are related to nested sequences of ๐-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. |
URI: | http://hdl.handle.net/10662/15602 |
ISSN: | 0213-8743 |
Colecciรณn: | Extracta Mathematicae Vol. 22, nยบ 2 (2007) |
Archivos
Archivo | Descripciรณn | Tamaรฑo | Formato | |
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2605-5686_22_2_93.pdf | 214,27 kB | Adobe PDF | Descargar |
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