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Jun 23, 2012 at 0:59 history edited Yulia Kuznetsova CC BY-SA 3.0
corrected formulation according to comments
Jun 23, 2012 at 0:57 comment added Yulia Kuznetsova Matthew, mohanravi, I should have written "morphism", so normal and involutive. Then indeed the image is weakly closed since it is the kernel of $F-Id$.
Jun 23, 2012 at 0:48 vote accept Yulia Kuznetsova
Jun 22, 2012 at 20:31 comment added Matthew Daws So can I ask a naive question: is it correct that $F$ is just an algebra homomorphism (not assumed normal, or a $*$-map, etc.?)
Jun 22, 2012 at 20:23 history edited Yulia Kuznetsova CC BY-SA 3.0
I do not claim anymore that these two questions are equivalent.; added 73 characters in body
Jun 22, 2012 at 20:22 comment added Yulia Kuznetsova I had a doubt about that when asking. Indeed, these might be wo different questions. Just in my case I know that the image is weakly closed.
Jun 22, 2012 at 18:35 answer added Dmitri Pavlov timeline score: 4
Jun 22, 2012 at 17:36 comment added mohanravi Naive question perhaps - Why are the two questions equivalent? I don't see why the range of an unital idempotent is weakly closed.
Jun 22, 2012 at 15:34 history edited Yulia Kuznetsova CC BY-SA 3.0
deleted 4 characters in body
Jun 22, 2012 at 15:33 history undeleted Yulia Kuznetsova
Jun 22, 2012 at 15:28 history deleted Yulia Kuznetsova
Jun 22, 2012 at 15:27 history asked Yulia Kuznetsova CC BY-SA 3.0