Properties of bases of some koethe spaces and their subspaces
โ Scribed by V. P. Kondakov
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 209 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove that if X is a Tychonoff topological space, Y a subspace of X, and every bounded continuous pseudometric on Y can be extended to a continuous pseudometric on X, then the free topological group F M (Y ) coincides with the topological subgroup of F M (X) generated by Y . For this purpose, a n
## Abstract For ฮฉ an open subset of IR^N^ and 1 < __p__ < โ, we prove that any complemented subspace __E__ of __L__^p^~loc~ (ฮฉ) contains either a complemented copy of (__l__^2^)^IN^ or a complemented copy of (__l__^p^)^IN^, provided โ๏ธ __F__ โ๏ธ and ฯ and โ๏ธ ฯโ __F__ with __F__ Banach space. We also