Zulip Chat Archive
Stream: maths
Topic: Resolvent set for `linear_pmap`
Moritz Doll (Aug 15 2022 at 09:04):
Hi, we have docs#resolvent_set for the resolvent set of a linear_pmap
this is useless since linear_pmap
is not a ring (not even a monoid, which is needed for units
). But the definition would work with some tweaks: units
only needs has_mul
and for resolvent_set
it is only necessary to calculate , where is a complex number and this could be formalized using vadd
(vadd
is a perfectly reasonable operator for linear_pmap
, you can always add multiples of the identity).
The question is whether changing units
and resolvent_set
is worth the effort, at least for resolvent_set
it is probably quite some work and a hack around would be that linear_pmap
has it's own resolvent_set
definition.
Last updated: Dec 20 2023 at 11:08 UTC