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Invariant subspaces of compact operators on topological vector spaces

Invariant subspaces of compact operators on topological vector spaces

Let (//, r) be a topological vector space and let T be a compact linear operator mapping H into H (i.e., T[V] is contained in a r-compact set for some r-neighborhood V of the zero vector in H).Sufficient conditions are given for (H,τ) so that T has a non-trivial, closed …