Multilinear isometries on function algebras
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Multilinear isometries on function algebrasFecha de publicación
2015Editor
Taylor & FrancisISSN
0308-1087; 1563-5139Cita bibliográfica
HOSSEINI, Maliheh; FONT, Juan J.; SANCHIS, Manuel. Multilinear isometries on function algebras. Linear and Multilinear Algebra, 2015, vol. 63, no 7, p. 1448-1457.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.tandfonline.com/doi/full/10.1080/03081087.2014.945446Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
Let be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces , respectively, and let Z be a locally compact Hausdorff space. A -linear map is ... [+]
Let be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces , respectively, and let Z be a locally compact Hausdorff space. A -linear map is called a multilinear (or k-linear) isometry if (Formula presented.)
Based on a new version of the additive Bishop’s Lemma, we provide a weighted composition characterization of such maps. These results generalize the well-known Holsztyński’s theorem and the bilinear version of this theorem provided in Moreno and Rodríguez [Studia Math. 2005;166:83–91] by a different approach. [-]
Publicado en
Linear and Multilinear Algebra, 2015, vol. 63, no 7Derechos de acceso
Aparece en las colecciones
- MAT_Articles [770]