On the boundary spectrum in banach algebras

Name: On the boundary spectrum in banach algebras
Creator: Mouton, S.
Keywords: Ordered rings, algebras, modules, Ideals and subalgebras, 0211 other engineering and technologies, General theory of topological algebras, boundary spectrum, ordered Banach algebras, 02 engineering and technology, Spectrum, resolvent, 0101 mathematics, 01 natural sciences

Mouton, S.

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Bulletin of the Aust...arrow_drop_down

Bulletin of the Australian Mathematical Society

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Bulletin of the Australian Mathematical Society

Article . 2006 . Peer-reviewed

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Article . 2006

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https://dx.doi.org/10.1017/s00...

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On the boundary spectrum in banach algebras

On the boundary spectrum in Banach algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2006 English Publisher:Cambridge University Press (CUP)Journal:Bulletin of the Australian Mathematical Society, volume 74, pages 239-246 (issn: 0004-9727, eissn: 1755-1633,

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Authors: Mouton, S.;

doi: 10.1017/s0004972700035681

On the boundary spectrum in banach algebras

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Abstract

We investigate some properties of the set S∂(a) = {λ ∈ ℂ: λ – a ∈ ∂S} (which we call the boundary spectrum of a) where ∂S denotes the topological boundary of the set S of all non-invertible elements of a Banach algebra A, and where a is an element of A.

Related Organizations

Stellenbosch University
South Africa

Keywords

Ordered rings, algebras, modules, Ideals and subalgebras, General theory of topological algebras, boundary spectrum, ordered Banach algebras, Spectrum, resolvent

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