A complete locally convex space of countable dimension admitting an operator with no invariant subspaces
Functional Analysis
2010-09-15 v1
Abstract
We construct a complete locally convex topological vector space of countable algebraic dimension and a continuous linear operator such that has no non-trivial closed invariant subspaces.
Keywords
Cite
@article{arxiv.1009.2644,
title = {A complete locally convex space of countable dimension admitting an operator with no invariant subspaces},
author = {Stanislav Shkarin},
journal= {arXiv preprint arXiv:1009.2644},
year = {2010}
}