banach space in a sentence

Examples

1. Clearly, all Banach spaces and Fr�chet spaces are F-spaces.
2. One can also study the spectral properties of operators on Banach spaces.
3. With respect to either of these norms, is a Banach space.
4. The construction may also be extended to Banach spaces and Hilbert spaces.
5. The general definition for Banach spaces was given by Grothendieck.
6. Let X, Y, and Z be Banach spaces.
7. A Banach space with a Schauder basis is necessarily bounded approximation property.
8. The quotient is a Banach space when is complete.
9. Let be a bounded sequence in a Banach space.
10. This applies in particular to separable reflexive Banach spaces.