Operator Segal algebras in Fourier algebras. (English) Zbl 1112.43003
The authors study abstract Segal algebras with operator space overtones added. In particular, if \(G\) is a locally compact group, the operator Segal algebra \(S^1A(G) := A(G) \cap L^1(G)\) in \(A(G)\) is studied in detail.
Reviewer: Volker Runde (Edmonton)
MSC:
| 43A30 | Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. |
| 46H05 | General theory of topological algebras |
| 46L07 | Operator spaces and completely bounded maps |
| 47L25 | Operator spaces (= matricially normed spaces) |
