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Ideals of A(G) and bimodules over maximal abelian selfadjoint algebras
Authors
M. Anoussis Katavolos, A. Todorov, I.G.
Publication date
1 January 2014
Publisher
Abstract
This paper is concerned with weak* closed masa-bimodules generated by A(G)-invariant subspaces of VN(G). An annihilator formula is established, which is used to characterise the weak* closed subspaces of B(L2(G)) which are invariant under both Schur multipliers and a canonical action of M(G) on B(L2(G)) via completely bounded maps. We study the special cases of extremal ideals with a given null set and, for a large class of groups, we establish a link between relative spectral synthesis and relative operator synthesis. © 2014
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Last time updated on 10/02/2023