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Inessential Ideals in Jordan–Banach Algebras
Author(s) -
Wilkins T. J. D.
Publication year - 1997
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609396001932
Subject(s) - mathematics , socle , pure mathematics , ideal (ethics) , banach algebra , jordan algebra , algebra over a field , banach space , algebra representation , inversion (geology) , epistemology , biology , paleontology , philosophy , structural basin
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. 1991 Mathematics Subject Classification 46H70.