Survey of some results in spectral theory obtained in Prague
Vlastimil Pták (1982)
Banach Center Publications
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Vlastimil Pták (1982)
Banach Center Publications
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Laura Burlando (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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...
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.
Markin, Marat V. (2004)
International Journal of Mathematics and Mathematical Sciences
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P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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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.
Vladimír Müller (1988)
Czechoslovak Mathematical Journal
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T. Gillespie (1997)
Banach Center Publications
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This paper gives a survey of some recent developments in the spectral theory of linear operators on Banach spaces in which the Hilbert transform and its abstract analogues play a fundamental role.