Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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Gerald J. Murphy, Timothy Trevor West (1980)
Commentationes Mathematicae Universitatis Carolinae
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Laura Burlando (1994)
Banach Center Publications
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This survey deals with necessary and/or sufficient conditions for continuity of the spectrum and spectral radius functions at a point of a Banach algebra.
W. Żelazko (1979)
Studia Mathematica
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L. Waelbroeck (1982)
Banach Center Publications
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M. Putinar (1984)
Studia Mathematica
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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.