A complete locally convex space of countable dimension admitting an operator with no invariant subspaces
classification
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keywords
completeconvexcountabledimensioninvariantlocallyoperatorspace
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We construct a complete locally convex topological vector space $X$ of countable algebraic dimension and a continuous linear operator $T:X\to X$ such that $T$ has no non-trivial closed invariant subspaces.
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