normed space meaning in Hindi

Examples

1. Every finite-dimensional normed space over or is a Banach space.
2. Thus becomes a complex normed space with open unit ball.
3. Normed spaces for which the map ? is a bijection are called reflexive.
4. Any linear operator defined on a finite-dimensional normed space is bounded.
5. Every inner product space is also a normed space.
6. The cartesian product of two normed spaces is not canonically equipped with a norm.
7. As a complete normed space, Hilbert spaces are by definition also Banach spaces.
8. and give rise to isomorphic normed spaces.
9. X " is a normed space the sets may be taken to be convex.
10. Incidentally, by the Kuratowski embedding any metric space is isometric to a subset of a normed space.