Disjointness preserving mappings on BSE Ditkin algebras
Ver/ Abrir
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Disjointness preserving mappings on BSE Ditkin algebrasAutoría
Fecha de publicación
2011Editor
Institute of Mathematics, University of Debrecen, HungaryISSN
0033-3883Cita bibliográfica
Publicationes Mathematicae Debrecen (2011), vol. 78, no. 2, 449-455Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
Let A and B be regular Banach function algebras. A linear map
T de_ned from A into B is said to be disjointness preserving or sepa-
rating if f _ g _ 0 implies T(f) _ T(g) _ 0 for all f; g 2 A. We prove
that if ... [+]
Let A and B be regular Banach function algebras. A linear map
T de_ned from A into B is said to be disjointness preserving or sepa-
rating if f _ g _ 0 implies T(f) _ T(g) _ 0 for all f; g 2 A. We prove
that if there exists a disjointness preserving bijection between two BSE
Ditkin algebras with a BAI, then they are isomorphic as algebras. As
a corollary we can deduce that two of these algebras are algebraically
isomorphic if there exists a surjective isometry between them for the
supremum norm [-]
Derechos de acceso
© Institute of Mathematics,
University of Debrecen, Hungary
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [755]