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S Oct 10, 2018 at 1:00 history bounty ended CommunityBot
S Oct 10, 2018 at 1:00 history notice removed CommunityBot
Oct 3, 2018 at 21:29 comment added user_1789 On the side question: In a Banach space setting, the openness you state follows directly from the openness of isomorphisms (and it is sufficient to consider some suitable Banach space setting, since e.g. ker consists of smooth functions as $T_{f_0}$ is elliptic). I think the Fredholm theory is only invoked to see that the collection of all $f$, for which $\tilde{L}(f)$ is an iso, is open (in the same way as when proving that the subspace of Fredholm operators is open in bounded operators).
S Oct 1, 2018 at 23:14 history bounty started Tobias Diez
S Oct 1, 2018 at 23:14 history notice added Tobias Diez Authoritative reference needed
Sep 28, 2018 at 16:35 history asked Tobias Diez CC BY-SA 4.0