banach space sentence in Hindi

Examples

1. This means that the correspondence defines a linear operator between the Banach spaces and.
2. If we take a Banach space completion, it becomes a C * algebra.
3. A further generalisation is to Fr�chet manifolds, replacing Banach spaces by Fr�chet spaces.
4. turning it into a normed vector space ( in fact a Banach space ).
5. Let be a compatible couple of Banach spaces.
6. As a complete normed space, Hilbert spaces are by definition also Banach spaces.
7. Note, this theorem fails for complex Banach spaces
8. When is a Banach space, it is viewed as a closed linear subspace of.
9. Indeed, if the dual of a Banach space is separable, then is separable.
10. Finally, all of the above holds for integrals with values in a Banach space.