Editing Canonical form (section)

===Functional analysis===
{| class="wikitable"
|-
! Objects
! ''A'' is equivalent to ''B'' if:
! Normal form
|-
| [[Hilbert spaces]]
| If ''A'' and ''B'' are both Hilbert spaces of infinite dimension, then ''A'' and ''B'' are isometrically isomorphic.
| <math>\ell^2(I)</math> [[Hilbert space#Sequence spaces|sequence spaces]] (up to exchanging the index set ''I'' with another index set of the same [[cardinality]])
|-
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| Commutative [[C*-algebra]]s with unit
| ''A'' and ''B'' are isomorphic as C*-algebras
| The algebra <math>C(X)</math> of continuous functions on a [[compact space|compact]] [[Hausdorff space]], up to [[homeomorphism]] of the base space.
|}