Partitions of the Spectrum of a Topological Algebra through Geometric hulls
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Displaying 1 – 14 of 14
Perturbation and spectral discontinuity in Banach algebras
Rudi Brits (2011)
Studia Mathematica
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 the form z =...
Perturbation theorems for Hermitian elements in Banach algebras
Rajendra Bhatia, Driss Drissi (1999)
Studia Mathematica
Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.
Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras
J. Esterle (1996)
Annales scientifiques de l'École Normale Supérieure
Pontryagin duality and topological algebras
Sergei S. Akbarov (2005)
Banach Center Publications
Power factorization in Banach algebras with a bounded approximate identity
Graham Allan, Allan Sinclair (1976)
Studia Mathematica
Power series in locally convex algebras
Günter Czichowski (1983)
Studia Mathematica
Power-dominated elements in a Banach algebra
G. Allan, T. Ransford (1989)
Studia Mathematica
Prehermitian Elements and B*-Algebras.
Earl Berkson (1971)
Mathematische Annalen
Projective limits of topological algebras
T. Müldner (1975)
Colloquium Mathematicae
Properties of the spectral radius in Banach algebras
Jaroslav Zemánek (1982)
Banach Center Publications
Propriétés multiplicatives universelles de certains quotients d'algèbres de Fréchet
Jean Esterle (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Pseudo-Banach algebras
G. Allan, H. Dales, J. McClure (1971)
Studia Mathematica
Pseudo-inverses, holomorphic functions and Atkinson theory in Banach algebras.
Christoph Schmoeger (1993)
Mathematica Scandinavica
Currently displaying 1 – 14 of 14
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