Heredity of Tensor Products of Topological Algebras.
A. MALLIOS (1965/66)
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A. MALLIOS (1965/66)
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Michael Cowling (1978)
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H. JARCHOW (1970)
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A. MALLIOS (1965)
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Friedrich W. Bauer (1973)
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Charles J.K. Batty (1976)
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A. MALLIOS (1964)
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D.R. Lewis (1973)
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Kamil John (1984)
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J.S. Cohen, A.B. Stephens (1974)
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L. WAELBROECK (1966)
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Marc de Wilde (1972)
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Anastasios Mallios (1967)
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Seán Dineen, Pablo Sevilla-Peris (2002)
Studia Mathematica
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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.