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In functional analysis, a partial isometry is a linear map between Hilbert spaces such that it is an isometry on the orthogonal complement of its kernel.
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isometry partial displaystyle isometries operator matrix support final orthogonal isometric one initial complement algebras kernel finite-dimensional defined space projection begin
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Partial isometry | is a | linear map between Hilbert spaces such that it is an isometry on the orthogonal complement of its kernel.The orthogonal complement of its kernel is called the initial subspace a… | 0.90 | text |
| Partial isometry | related to Characterization in finite dimensions | In | 0.60 | section |
| Partial isometry | related to Characterization in finite dimensions | Contrast | 0.60 | section |
| Partial isometry | related to Characterization in finite dimensions | Any | 0.60 | section |
| Partial isometry | related to General definition | The | 0.60 | section |
| Partial isometry | related to General definition | If | 0.60 | section |
| Partial isometry | related to General definition | H1 | 0.60 | section |
| Partial isometry | related to General definition | Hilbert | 0.60 | section |
| Partial isometry | related to General definition | Thus | 0.60 | section |
| Partial isometry | related to General definition | Partial | 0.60 | section |
| Partial isometry | related to Nilpotents | On | 0.60 | section |
| Partial isometry | related to Nilpotents | Hilbert | 0.60 | section |
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