banach space in a sentence

Examples

1. Banach spaces are a different generalization of Hilbert spaces.
2. A further generalization for a function between Banach spaces is the Fr�chet derivative.
3. Spatial medians are defined for random vectors with values in a Banach space.
4. Since is onto and isometric, it is an isomorphism of Banach spaces.
5. The construction may also be extended to cover Banach spaces and Hilbert spaces.
6. A Banach space finitely representable in  ! 2 is a Hilbert space.
7. Every Banach space is finitely representable in " c " 0.
8. The second decomposition generalizes more easily for general compact operators on Banach spaces.
9. Let X be a Banach space and let 1 \ leq \ lambda.
10. Some generalizations to Banach spaces and more general topological vector spaces are possible.