Continuous characters and joint topological spectrum
Wiesław Żelazko (2007)
Control and Cybernetics
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Displaying similar documents to “A note on the singular spectrum.”
Continuous characters and joint topological spectrum
Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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Approximate point joint spectra and multiplicative functionals
Andrzej Sołtysiak (1987)
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 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.
On the topological boundary of the one-sided spectrum
Vladimír Müller (1999)
Czechoslovak Mathematical Journal
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It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger.
On generalized topological divisors of zero
W. Żelazko (1987)
Studia Mathematica
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On ideal of joint topological divisors of zero
L. Lindahl (1975)
Studia Mathematica
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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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On joint spectra of operators on a Banach space isomorphic to its square
Andrzej Sołtysiak (1989)
Colloquium Mathematicae
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On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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