Funtional Boundedness of Some M-Complete m-Convex Algebras
M. Oudadess (1997)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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M. Oudadess (1997)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Iván Ezequiel Angiono (2015)
Journal of the European Mathematical Society
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We obtain a presentation by generators and relations of any Nichols algebra of diagonal type with finite root system. We prove that the defining ideal is finitely generated. The proof is based on Kharchenko’s theory of PBW bases of Lyndon words. We prove that the lexicographic order on Lyndon words is convex for PBW generators and so the PBW basis is orthogonal with respect to the canonical non-degenerate form associated to the Nichols algebra.
L. Oubbi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović, Vincent Valmorin
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We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces...
Mohamed Oudadess (1990)
Publicacions Matemàtiques
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Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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Marcus Tressl (2002)
Banach Center Publications
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Kazimierz Urbanik (1969)
Colloquium Mathematicum
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Daniel W. Stroock (1976)
Colloquium Mathematicae
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Christoph Bandt (1979)
Colloquium Mathematicae
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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