Commit 2021-12-24 16:32 3377bccd
View on Github →feat(analysis/inner_product_space/adjoint): define the adjoint of a continuous linear map between Hilbert spaces (#10825)
This PR defines the adjoint of an operator A : E →L[𝕜] F
as the unique operator adjoint A : F →L[𝕜] E
such that ⟪x, A y⟫ = ⟪adjoint A x, y⟫
for all x
and y
. We then use this to put a star algebra structure on E →L[𝕜] E
with the adjoint as the star operation (while leaving the C* property for a subsequent PR).