I was reading following proof.
I understand whole proof.But I don’t see where author Proved fact that compact operator has countable number of eigenvalues
Any help will be appreciated thanks a lot
Lemma 5.4 is Reisz Lemma
2026-04-14 00:10:28.1776125428
why compact operator has countable number of eigenvalues?
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Hint: a subset of $\mathbb C$ with at most one limit point is countable.