Continuous characters and joint topological spectrum

Wiesław Żelazko

Displaying similar documents to “Continuous characters and joint topological spectrum”

Joint spectra of generators in topological algebras.

Wawrzyńczyk, Antoni (2007)

International Journal of Mathematics and Mathematical Sciences

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On the left and right joint spectra in Banach algebras

Che-Kao Fong, Andrzej Sołtysiak (1990)

Studia Mathematica

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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 $x \mapsto x^{- 1}$ 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.