On continuity of circle operation in normed algebras.
P. K. Kamthan (1966)
Collectanea Mathematica
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P. K. Kamthan (1966)
Collectanea Mathematica
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Wiesław Żelazko (1963)
Colloquium Mathematicae
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W. Żelazko (1967)
Colloquium Mathematicae
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Bertram Yood (1994)
Studia Mathematica
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Let C(Ω) be the algebra of all complex-valued continuous functions on a topological space Ω where C(Ω) contains unbounded functions. First it is shown that C(Ω) cannot have a Banach algebra norm. Then it is shown that, for certain Ω, C(Ω) cannot possess an (incomplete) normed algebra norm. In particular, this is so for where ℝ is the reals.
E.R. Lorch (1952)
Publications de l'Institut Mathématique [Elektronische Ressource]
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ÁNGEL RODRÍGUEZ PALACIOS (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Miguel Cabrera García, Angel Rodríguez Palacios (1990)
Extracta Mathematicae
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Recently M. Mathieu [9] has proved that any associative ultraprime normed complex algebra is centrally closed. The aim of this note is to announce the general nonassociative extension of Mathieu's result obtained by the authors [2].
V. Mascioni (1987)
Elemente der Mathematik
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A. Beddaa, M. Oudadess (1989)
Studia Mathematica
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