Commit 2022-01-16 15:00 d7f8f580
View on Github →feat(algebra/star/unitary): (re)define unitary elements of a star monoid (#11457)
This PR defines unitary R
for a star monoid R
as the submonoid containing the elements that satisfy both star U * U = 1
and U * star U = 1
. We show basic properties (i.e. that this forms a group) and show that they
preserve the norm when R
is a C* ring.
Note that this replaces unitary_submonoid
, which only included the condition star U * U = 1
-- see the discussion on Zulip.