On the Euler characteristic in spaces with a separability property
โ Scribed by H. Groemer
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 443 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A subset X of a vector space V is said to have the "Separation Property" if it separates linear forms in the following sense: given a pair (ฮฑ, ฮฒ) of linearly independent linear forms on V there is a point x on X such that ฮฑ(x) = 0 and ฮฒ(x) = 0. A more geometric way to express this is the following:
Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.