INESSENTIAL IDEALS IN JORDAN–BANACH ALGEBRAS

INESSENTIAL IDEALS IN JORDAN–BANACH ALGEBRAS

We generalise to Jordan–Banach algebras some results of Aupetit on perturbation by inessential elements. This enables us to show that the kh-socle is the largest inessential ideal, and to give some spectral characterisations of it.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 1997-01, Vol.29 (1), p.73-81
1. Verfasser: WILKINS, T. J. D.
Format: Artikel
Sprache:eng
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Zusammenfassung:We generalise to Jordan–Banach algebras some results of Aupetit on perturbation by inessential elements. This enables us to show that the kh-socle is the largest inessential ideal, and to give some spectral characterisations of it.
ISSN:0024-6093
1469-2120
DOI:10.1112/S0024609396001932