Commit 2025-07-11 01:56 b821f6e3
View on Github →feat(Analysis/InnerProductSpace/Projection): define Submodule.starProjection
(#25958)
This defines Submodule.starProjection
, the orthogonal projection onto a subspace as a map from the full space to itself, as opposed to Submodule.orthogonalProjection
, which maps into the subtype. This
version is important as it satisfies IsStarProjection
.
Lemma: an operator is a star projection iff it is an orthogonal projection (i.e., IsStarProjection p
iff p = (LinearMap.range p).starProjection
).