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Generalized function algebras as sequence space algebras
Author(s):
Antoine
Delcroix;
Maximilian
F.
Hasler;
Stevan
Pilipovic;
Vincent
Valmorin
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2031-2038.
MSC (2000):
Primary 46A45, 46F30;
Secondary 46E10, 46A13, 46A50, 46E35, 46F05
Posted:
February 12, 2004
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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.
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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. Obradovica 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
DOI:
10.1090/S0002-9939-04-07306-X
PII:
S 0002-9939(04)07306-X
Received by editor(s):
May 8, 2002
Received by editor(s) in revised form:
March 19 2003
Posted:
February 12, 2004
Communicated by:
David R. Larson
Copyright of article:
Copyright
2004,
American Mathematical Society
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