Continuous characters and joint topological spectrum
Wiesław Żelazko (2007)
Control and Cybernetics
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Wiesław Żelazko (2007)
Control and Cybernetics
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Antoni Wawrzyńczyk (2000)
Studia Mathematica
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The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.
W. Żelazko (1983)
Studia Mathematica
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Hermann König (1981)
Colloquium Mathematicae
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W. Żelazko (2000)
Studia Mathematica
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Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra
Andrzej Sołtysiak (1987)
Studia Mathematica
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L. Lindahl (1975)
Studia Mathematica
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L. Lindeboom (Groenewald), H. Raubenheimer (1998)
Extracta Mathematicae
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We compare the singular spectrum of a Banach algebra element with the usual spectrum and exponential spectrum.
Vladimir Müller (1991)
Collectanea Mathematica
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An ideal in a commutative topological algebra with separately continuous multiplication is non-removable if and only if it consists locally of joint topological divisors of zero. Also, any family of non-removable ideals can be removed simultanously.
W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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