Continuity of spectrum and spectral radius in algebras of operators
Laura Burlando (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “On the problem of invariance under holomorphic functions for a set of continuity points of the spectrum function”
Continuity of spectrum and spectral radius in algebras of operators
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Robin Harte (1996)
Studia Mathematica
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An exactness lemma offers a simplified account of the spectral properties of the "holomorphic" analogue of normal solvability.
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.
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Seán Dineen (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces
Dietmar Abts (1980)
Commentationes Mathematicae Universitatis Carolinae
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The holomorphic functional calculus as an operational calculus
L. Waelbroeck (1982)
Banach Center Publications
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The stability radius of an operator of Saphar type
Christoph Schmoeger (1995)
Studia Mathematica
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A bounded linear operator T on a complex Banach space X is called an operator of Saphar type if its kernel is contained in its generalized range and T is relatively regular. For T of Saphar type we determine the supremum of all positive numbers δ such that T - λI is of Saphar type for |λ| < δ.