The Invariant Subspace Problem

Joel H. Shapiro


Lecture Notes, April 2014
Abstract: These are notes for some lectures I gave in the Portland State University Analysis Seminar during the winter and spring terms of 2013-2014. They focus on Lomonosov's blockbuster 1972 paper on hyperinvariant subspaces for compact operators (and even for nonscalar operators that commute with a compact), and include some discussion of the Transitive Algebra Problem.
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