isometric isomorphism
Let and be normed vector spaces. A surjective linear map is called an isometric isomorphism between and if
In this case, and are said to be isometrically isomorphic.
Two isometrically isomorphic normed vector spaces share the same , so they are usually identified with each other.
Title | isometric isomorphism |
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Canonical name | IsometricIsomorphism |
Date of creation | 2013-03-22 17:34:17 |
Last modified on | 2013-03-22 17:34:17 |
Owner | Gorkem (3644) |
Last modified by | Gorkem (3644) |
Numerical id | 8 |
Author | Gorkem (3644) |
Entry type | Definition |
Classification | msc 46B99 |
Related topic | Isometry |
Defines | isometrically isomorphic |