Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590431 | Journal of Functional Analysis | 2014 | 28 Pages |
Abstract
This paper is concerned with weakâ closed masa-bimodules generated by A(G)-invariant subspaces of VN(G). An annihilator formula is established, which is used to characterise the weakâ 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Anoussis, A. Katavolos, I.G. Todorov,