Lie and Jordan ideals in $B(c_ 0)$ and $B(l_ \rho )$
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- by K.-H. Förster and B. Nagy PDF
- Proc. Amer. Math. Soc. 117 (1993), 673-677 Request permission
Abstract:
It is shown that ideals with respect to the canonical Lie (commutator) product in these algebras are exactly the linear manifolds that contain the images of their elements under the action of inner automorphisms induced by invertible spectral operators of scalar type. Jordan ideals in these algebras are identical with two-sided associative ideals and are also applied to a characterization of Lie ideals.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 673-677
- MSC: Primary 47D50; Secondary 46L70, 47B37, 47D30
- DOI: https://doi.org/10.1090/S0002-9939-1993-1123652-6
- MathSciNet review: 1123652