Journal article
Ideal structure of operator and measure algebras
Monatshefte für Mathematik, Vol.95(2), pp.159-172
1983
Abstract
Let H denote a finite dimensional Hilbert space with subspace E. The set {Mathematical expression} is a subalgebra of B(H). A complete description of the ideal (two-sided, left and right) structure of J(E) is given. Let G denote a compact group with dual object ∑(G), and let σ be an element of ∑(G). The results concerning J(E) are applied to certain convolution subalgebras of M(G), the algebras having the property that the set of operators, μ(σ), where μ lies in the algebra, is of the form J(E). In particular, all the minimal two-sided and right ideals are listed. The technique used is an extension of one employed by Hewitt and Ross in [1] to study the closed ideals of some convolution subalgebras of M(G) which contain T(G).
Details
- Title
- Ideal structure of operator and measure algebras
- Authors/Creators
- J.A. Ward (Author/Creator) - Murdoch University
- Publication Details
- Monatshefte für Mathematik, Vol.95(2), pp.159-172
- Publisher
- Springer-Verlag
- Identifiers
- 991005544414707891
- Copyright
- © 1983 Springer-Verlag.
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.886 Operator Algebras
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics