✦ LIBER ✦
A Separation Property of Positive Definite Functions on Locally Compact Groups and Applications to Fourier Algebras
✍ Scribed by Eberhard Kaniuth; Anthony T. Lau
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 174 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
For a closed subgroup H of a locally compact group G consider the property that the continuous positive definite functions on G which are identically one on H separate points in G"H from points in H. We prove a structure theorem for almost connected groups having this separation property for every closed subgroup. Also, when a pair (G, H) has this separation property, there are interesting consequences in the ideal theory of the Fourier algebra of G.