A Refinement of Theorems on Complete Classes of Tests
β Scribed by Bernshtein, A. V.
- Book ID
- 118224625
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1986
- Tongue
- English
- Weight
- 464 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0040-585X
- DOI
- 10.1137/1130079
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π SIMILAR VOLUMES
## Abstract We consider the following generalization of the notion of a structure recursive relative to a set __X.__ A relational structure __A__ is said to be a Ξ(__X__)βstructure if for each relation symbol __R__, the interpretation of __R__ in __A__ is β relative to __X__, where Ξ² = Ξ(__R__). We
Abetrect. I n the present note we give a simple and short proof of the following refinement of the GELFAND-RAIKOV theorem due to M. E. WALTER [2]: Given a locally compact group G and two elements xl, z g E G, neither of which is the identity e of G, then there exists a continuous, imedocible, unitar