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Apr 13, 2017 at 12:19 history edited CommunityBot
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Aug 31, 2015 at 6:22 comment added priel The invariant subspace problem is still open for Hilbert spaces. It has long been known (Enflo) that there are are continuous linear operators on a Banach spaces without closed invariant subspaces. For the type of theory sought for here, the theory of spectral operators as in vol. 3 of Dunford and Schwartz might be of interest.
May 24, 2015 at 21:40 history edited Igor Khavkine CC BY-SA 3.0
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May 24, 2015 at 21:26 history answered Igor Khavkine CC BY-SA 3.0