An application of homological methods to locally convex groups
B. Mirković (1979)
Matematički Vesnik
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B. Mirković (1979)
Matematički Vesnik
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Susanne Dierolf, Thomas Heintz (2003)
RACSAM
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We prove that a locally convex algebra A with jointly continuous multiplication is already locally-m-convex, if A contains a two-sided ideal I such that both I and the quotient algebra A/I are locally-m-convex. An application to the behaviour of the associated locally-m-convex topology on ideals is given.
KHIN AYE AYE AND KARL-HEINZ SCHRODER SUSANNE DiEROLF (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Kyriazis, Athanasios (1989)
Portugaliae mathematica
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Kyriazis, Athanasios (1994)
Portugaliae Mathematica
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Stojanka Orestijević (1992)
Publications de l'Institut Mathématique
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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.
Tsertos, Yannis (1997)
Portugaliae Mathematica
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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.
George F. Nassopoulos (2005)
Banach Center Publications
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