On the spectrum of C1b (E).
Jesús A. Jaramillo, José G. Llavona (1990)
Mathematische Annalen
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Displaying similar documents to “The Relative Spectrum of Elements in a Real Banach Algebra.”
On the spectrum of C1b (E).
Spectral Representations for Unbounded Operators with Real Spectrum.
S. Kantorovitz, R. J. Hughes (1988)
Mathematische Annalen
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Continuity of spectrum and spectral radius in Banach algebras
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.
Perturbation and spectral discontinuity in Banach algebras
Rudi Brits (2011)
Studia Mathematica
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We extend an example of B. Aupetit, which illustrates spectral discontinuity for operators on an infinite-dimensional separable Hilbert space, to a general spectral discontinuity result in abstract Banach algebras. This can then be used to show that given any Banach algebra, Y, one may adjoin to Y a non-commutative inessential ideal, I, so that in the resulting algebra, A, the following holds: To each x ∈ Y whose spectrum separates the plane there corresponds a perturbation of x, of...
Banach-valued axiomatic spectra
S. Seán, Robin E. Harte (2006)
Studia Mathematica
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Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum.
On a certain class of subspectra
Andrzej Sołtysiak (1991)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to characterize a class of subspectra for which the geometric spectral radius is the same and depends only upon a commuting -tuple of elements of a complex Banach algebra. We prove also that all these subspectra have the same capacity.
An axiomatic approach to joint spectra I
W. Żelazko (1979)
Studia Mathematica
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Spectral Mapping Theorems for Essential Spectra.
Bernhard GRAMSCH, David LAY (1971)
Mathematische Annalen
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Spectrum and the Fixed Point Sets of Isometries. I.
Harold Donnelly (1976)
Mathematische Annalen
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Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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The Hatcher-Waldhausen map is a spectrum map.
John Rognes (1994)
Mathematische Annalen
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On the axiomatic theory of spectrum
V. Kordula, V. Müller (1996)
Studia Mathematica
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There are a number of spectra studied in the literature which do not fit into the axiomatic theory of Żelazko. This paper is an attempt to give an axiomatic theory for these spectra, which, apart from the usual types of spectra, like one-sided, approximate point or essential spectra, include also the local spectra, the Browder spectrum and various versions of the Apostol spectrum (studied under various names, e.g. regular, semiregular or essentially semiregular).