The boundary of the spectrum of a linear Operatoro
Taylor, A. E.
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Displaying similar documents to “Spectral structures and uniform continuity”
The boundary of the spectrum of a linear Operatoro
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On the characterization of scalar type spectral operators
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Vanishing lines in generalized Adams spectral sequences are generic.
Hopkins, M.J., Palmieri, J.H., Smith, J.H. (1999)
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V. Caselles, F. Aràndiga (1992)
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Spectral properties of doubly commuting hyponormal operators
J. Janas (1984)
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Survey of some results in spectral theory obtained in Prague
Vlastimil Pták (1982)
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An axiomatic approach to joint spectra I
W. Żelazko (1979)
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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...