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<title lang=es>Generalized function algebras as sequence space algebras</title>
<creator>Delcroix, Antoine</creator>
<creator>Hasler, Maximilian F.</creator>
<creator>Pilipovic, Stevan</creator>
<creator>Valmorin, Vincent</creator>
<contributor>Institut universitaire de formation des maîtres - Guadeloupe (IUFM Guadeloupe) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Département Scientifique Interfacultaire (DSI) ; Archéologie Industrielle, Histoire, Patrimoine- Géographie, Développement, Environnement de la Caraïbe [EA 929] (AIHP-GEODE) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles et de la Guyane (UAG) - Université des Antilles (Pôle Martinique) ; Université des Antilles (UA) - Université des Antilles (UA)</contributor>
<contributor>Institute of Mathematics ; University of Novi Sad</contributor>
<contributor>Département de Mathématiques et Informatique (D.M.I.) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles (Pôle Guadeloupe) ; Université des Antilles (UA) - Université des Antilles (UA)</contributor>
<description>International audience</description>
<source>ISSN: 0002-9939</source>
<source>Proceedings of the American Mathematical Society</source>
<publisher>American Mathematical Society</publisher>
<identifier>hal-00758571</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758571</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758571/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758571/file/0206039v1.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00758571</source>
<source>Proceedings of the American Mathematical Society, American Mathematical Society, 2004, 132 (7), pp.2031-2038</source>
<language>en</language>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>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 discrete topology on the basic space. This result is in analogy to Schwartz' impossibility result concerning multiplication of distributions.</description>
<date>2004-02-12</date>
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