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)
.