Generalized function algebras as sequence space algebras
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- by Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipovic and Vincent Valmorin PDF
- Proc. Amer. Math. Soc. 132 (2004), 2031-2038 Request permission
Abstract:
A topological description of various generalized function algebras over corresponding basic locally convex algebras is given. The framework consists of algebras of sequences with appropriate ultra(pseudo)metrics defined by sequences of exponential weights. Such an algebra with embedded Dirac’s delta distribution induces the discrete topology on the basic space.References
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Additional Information
- Antoine Delcroix
- Affiliation: IUFM des Antilles et de la Guyane, Morne Ferret, BP 399, 97159 Pointe à Pitre cedex, Guadeloupe, F.W.I.
- Email: Antoine.Delcroix@univ-ag.fr
- Maximilian F. Hasler
- Affiliation: Dépt. Scientifique Interfacultaire, Université des Antilles et de la Guyane, BP 7209, 97275 Schoelcher cedex, Martinique, F.W.I.
- Email: Maximilian.Hasler@martinique.univ-ag.fr
- Stevan Pilipovic
- Affiliation: Faculty of Sciences and Mathematics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia
- Email: pilipovic@im.ns.ac.yu
- Vincent Valmorin
- Affiliation: Faculté des Sciences Exactes et Naturelles, Université des Antilles et de la Guyane, Campus de Fouillole, 97159 Pointe à Pitre cedex, Guadeloupe, F.W.I.
- Email: Vincent.Valmorin@univ-ag.fr
- Received by editor(s): May 8, 2002
- Received by editor(s) in revised form: March 19, 2003
- Published electronically: February 12, 2004
- Communicated by: David R. Larson
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2031-2038
- MSC (2000): Primary 46A45, 46F30; Secondary 46E10, 46A13, 46A50, 46E35, 46F05
- DOI: https://doi.org/10.1090/S0002-9939-04-07306-X
- MathSciNet review: 2053975