Display title | Hilbert–Schmidt operator |
Default sort key | Hilbert-Schmidt Operator |
Page length (in bytes) | 9,110 |
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Page ID | 210408 |
Page content language | en - English |
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Page creator | imported>Rtexter1 |
Date of page creation | 20:13, 6 February 2024 |
Latest editor | imported>Rtexter1 |
Date of latest edit | 20:13, 6 February 2024 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator $ A\colon H\to H $ that acts on a Hilbert space $ H $ and has finite Hilbert–Schmidt norm
$ {\displaystyle \|A\|_{\operatorname {HS} }^{2}\ {\stackrel {\text{def}}{=}}\ \sum _{i\in I}\|Ae_ |