Displaying similar documents to “On Banach algebras satisfying a spectral maximum principle”

Some simple proofs in holomorphic spectral theory

Graham R. Allan (2007)

Banach Center Publications

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This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.

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...

Spectral mapping framework

Anar Dosiev (2005)

Banach Center Publications

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In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.