On decomposition of a commutative p-normed algebra into a direct sum of ideals
Wiesław Żelazko (1963)
Colloquium Mathematicae
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Displaying similar documents to “Metric properties of normed algebras”
On decomposition of a commutative p-normed algebra into a direct sum of ideals
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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On continuity of circle operation in normed algebras.
P. K. Kamthan (1966)
Collectanea Mathematica
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On a question of A. Wilansky in normed algebras
A. Beddaa, M. Oudadess (1989)
Studia Mathematica
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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.
On the radicals of p-normed algebras
W. Żelazko (1962)
Studia Mathematica
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Reversibility in absolute-valued algebras
K. Urbanik (1962)
Fundamenta Mathematicae
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On one-sided division infinite-dimensional normed real algebras.
José Antonio Cuenca Mira (1992)
Publicacions Matemàtiques
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In this note we introduce the concept of Cayley homomorphism which is closely related with those of composition algebra and normalized orthogonal multiplication. The key result shows the existence of certain types of Cayley homomorphisms for infinite dimension. As an application we prove the existence of left division infinite-dimensional complete normed real algebras with left unity.
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].
One-sided division absolute valued algebras.
Ana Rodríguez Palacios (1992)
Publicacions Matemàtiques
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We develop a structure theory for left divsion absolute valued algebras which shows, among other things, that the norm of such an algebra comes from an inner product. Moreover, we prove the existence of left division complete absolute valued algebras with left unit of arbitrary infinite hilbertian division and with the additional property that they have nonzero proper closed left ideals. Our construction involves results from the representation theory of the so called "Canonical Anticommutation...
A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function
Alexander Pruss (1995)
Studia Mathematica
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Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.