banach space sentence in Hindi

Examples

1. Let be a Banach space and be a normed vector space.
2. Let and be Banach spaces and be a continuous linear operator.
3. The definition of weak convergence can be extended to Banach spaces.
4. It is necessary that the spaces in question be Banach spaces.
5. Banach space obtained by the real interpolation method with parameters and.
6. More generally, this holds in any uniformly convex Banach space.
7. Every finite-dimensional normed space over or is a Banach space.
8. The Banach Steinhaus theorem is not limited to Banach spaces.
9. The chain rule is also valid for Fr�chet derivatives in Banach spaces.
10. Two prominent examples occur for Banach spaces and Hilbert spaces.