tensor product of Hilbert spaces

This is an automatic view based on data from Wikidata.
There is not a complete article yet, but you can help creating one.

tensor product space endowed with a special inner product

External resources

tensor product

{\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}}

{\mathcal {H}}

{\mathcal {H}}'

\otimes _{\mathrm {Hilb} }

symbol represents: tensor product of Hilbert spaces

\otimes _{\mathbb {C} }

symbol represents: tensor product of modules

{\overline {\quad }}

symbol represents: completion

WikiProject Mathematics