classification of separable Hilbert spaces
Let H1 and H2 be infinite dimensional, separable Hilbert spaces. Then there is an isomorphism f:H1→H2 which is also an isometry.
In other words, H1 and H2 are identical as Hilbert spaces.
Title | classification of separable Hilbert spaces |
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Canonical name | ClassificationOfSeparableHilbertSpaces |
Date of creation | 2013-03-22 12:19:12 |
Last modified on | 2013-03-22 12:19:12 |
Owner | Evandar (27) |
Last modified by | Evandar (27) |
Numerical id | 5 |
Author | Evandar (27) |
Entry type | Theorem |
Classification | msc 46C15 |
Related topic | ClassificationOfHilbertSpaces |