Commit 2024-05-26 19:45 cee9bb22
View on Github βfeat: norm structure on WithLp 1 (Unitization π A) (#12582)
Unitization π A is equipped with a norm when A is a RegularNormedAlgebra, and it turns out that norm is minimal among all norms for which the natural coercion from A is an isometry and which satisfy β1β = 1.
There is also a maximal norm, given by βxβ := βx.fstβ + βx.sndβ, and this norm also makes sense even when A is not a RegularNormedAlgebra. We place this norm on the type synonym WithLp 1 (Unitization π A).