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(Q1404488)
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English
tensor product of Hilbert spaces
tensor product space endowed with a special inner product
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Statements
instance of
binary operation
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subclass of
tensor product
of
Hilbert space
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defining formula
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{\displaystyle {\begin{aligned}{\mathcal {H}}\otimes _{\mathrm {Hilb} }{\mathcal {H}}'&={\overline {{\mathcal {H}}\otimes _{\mathbb {C} }{\mathcal {H}}'}}\\\langle x\otimes x',y\otimes y\rangle _{{\mathcal {H}}\otimes _{\mathrm {Hilb} }{\mathcal {H}}'}&=\langle x,y\rangle _{\mathcal {H}}\langle x',y'\rangle _{{\mathcal {H}}'}\end{aligned}}}
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in defining formula
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{\displaystyle {\mathcal {H}}}
symbol represents
Hilbert space
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H
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{\displaystyle {\mathcal {H}}'}
symbol represents
Hilbert space
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⊗
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{\displaystyle \otimes _{\mathrm {Hilb} }}
symbol represents
tensor product of Hilbert spaces
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⊗
C
{\displaystyle \otimes _{\mathbb {C} }}
symbol represents
tensor product of modules
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¯
{\displaystyle {\overline {\quad }}}
symbol represents
completion
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maintained by WikiProject
WikiProject Mathematics
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Identifiers
Freebase ID
/m/04_1n3s
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Microsoft Academic ID
93776189
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OpenAlex ID
C93776189
1 reference
stated in
OpenAlex
retrieved
26 January 2022
reference URL
https://docs.openalex.org/download-snapshot/snapshot-data-format
Sitelinks
Wikipedia
(4 entries)
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dewiki
Hilbertraum-Tensorprodukt
enwiki
Tensor product of Hilbert spaces
eswiki
Producto tensorial de espacios de Hilbert
plwiki
Iloczyn tensorowy przestrzeni Hilberta
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