Completions of spaces of functions on compact spaces with respect to the Hausdorff uniformity
โ Scribed by V. V. Fedorchuk
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 952 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let C R (X) denote, as usual, the Banach algebra of all real valued continuous functions on a compact Hausdorff space X endowed with the supremum norm. We present an elementary proof of the following extension result for C R (X): For a given g โ C R (X) with zero set Zg and for the n-tuple (f1, . .
The set E(S) of all splitting subspaces, i.e., of all subspaces M of an inner product space S for which M(~ M โข = S holds, is an orthocomplemented orthomodular orthoposet and it has already been shown that the ordering property on E(S) of being a complete lattice characterizes the completeness of in
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