A complete locally convex space of countable dimension admitting an operator with no invariant subspaces

Details A complete locally convex space of countable dimension admitting an operator with no invariant subspaces A complete locally convex space of countable dimension admitting an operator with no invariant subspaces

2010-09-14

arxiv.org/abs/1009.2644v1

Mathematics

Functional Analysis

Scientific paper

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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