On the radicals of p-normed algebras
W. Żelazko (1962)
Studia Mathematica
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Displaying similar documents to “On continuity of circle operation in normed algebras.”
On the radicals of p-normed algebras
On topological divisors of zero in p-normed algebras without unit
W. Żelazko (1967)
Colloquium Mathematicae
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Continuity of homomorphisms into normed algebras without topological divisors of zero.
ÁNGEL RODRÍGUEZ PALACIOS (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Convexity and normed spaces.
E.R. Lorch (1952)
Publications de l'Institut Mathématique [Elektronische Ressource]
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On decomposition of a commutative p-normed algebra into a direct sum of ideals
Wiesław Żelazko (1963)
Colloquium Mathematicae
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Some characterizations of complex normed Q-algebras.
V. Mascioni (1987)
Elemente der Mathematik
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On the non-existence of norms for some algebras of functions
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.
Nonassociative ultraprime normed algebras.
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].
On a question of A. Wilansky in normed algebras
A. Beddaa, M. Oudadess (1989)
Studia Mathematica
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Korovkin theory in normed algebras
Ferdinand Beckhoff (1991)
Studia Mathematica
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If A is a normed power-associative complex algebra such that the selfadjoint part is normally ordered with respect to some order, then the Korovkin closure (see the introduction for definitions) of T ∪ {t* ∘ t| t ∈ T} contains J*(T) for any subset T of A. This can be applied to C*-algebras, minimal norm ideals on a Hilbert space, and to H*-algebras. For bounded H*-algebras and dual C*-algebras there is even equality. This answers a question posed in [1].