The completions of a commutative lattice group with respect to the intrinsic topologies
β Scribed by Ton Daorong
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1990
- Tongue
- English
- Weight
- 552 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
A necessary and sufficient condition for completibility of topological groups with respect to the maximal uniform structure and the class of topological groups with the above-mentioned property are found. Results similar to factorization for continuous homomorphisms of R-factorizable uniform groups
## Abstract We consider a GelfandβPhillips type property for the weak topology. The main results that we obtain are (1) for certain Banach spaces, __E__^Λ^~Ο΅~ __F__ inherits this property from __E__ and __F__, and (2) the spaces __L__^p^(ΞΌ, __E__) have this property when __E__ does. A subset __A__