Joint spectra of generators in topological algebras.
Wawrzyńczyk, Antoni (2007)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Continuous characters and joint topological spectrum”
Joint spectra of generators in topological algebras.
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Che-Kao Fong, Andrzej Sołtysiak (1990)
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Topologically Invertible Elements and Topological Spectrum
Mati Abel, Wiesław Żelazko (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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Properties of topologically invertible elements and the topological spectrum of elements in unital semitopological algebras are studied. It is shown that the inversion is continuous in every invertive Fréchet algebra, and singly generated unital semitopological algebras have continuous characters if and only if the topological spectrum of the generator is non-empty. Several open problems are presented.
Approximate point joint spectra and multiplicative functionals
Andrzej Sołtysiak (1987)
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On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
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A note on the singular spectrum.
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.
Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
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On the largest generalized joint spectrum
Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
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An axiomatic approach to joint spectra I
W. Żelazko (1979)
Studia Mathematica
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