Disjointness preserving maps between vector-valued group algebras
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Disjointness preserving maps between vector-valued group algebrasData de publicació
2018-06ISSN
0001-9054; 1420-8903Cita bibliogràfica
HOSSEINI, Maliheh; FONT, Juan J. Disjointness preserving maps between vector-valued group algebras. Aequationes mathematicae, 2018, vol. 92, no 3, p. 549–561.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007%2Fs00010-018-0547-6Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
Let G be a locally compact abelian group and B be a commutative Banach algebra. Let L1(G,B) be the Banach algebra of B-valued Bochner integrable functions on G. In this paper we provide a complete description of ... [+]
Let G be a locally compact abelian group and B be a commutative Banach algebra. Let L1(G,B) be the Banach algebra of B-valued Bochner integrable functions on G. In this paper we provide a complete description of continuous disjointness preserving maps on L1(G,B) -algebras based on a scarcely used tool: the vector-valued Fourier transform. We also present necessary and sufficient conditions for these operators to be compact. [-]
Publicat a
Aequationes mathematicae, 2018, vol. 92, no 3Proyecto de investigación
Spanish Government: MTM2016-77143-P; Universitat Jaume I: P11B2014-35; Generalitat Valenciana: AICO/2016/030Drets d'accés
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