Abstract
It is proved that any infinite-dimensional non-archimedean Frechet space with a symmetric basis is isomorphic to c 0 or ?ℕ. A similar result is shown for homogeneous bases. It is also proved that any infinite-dimensional nuclear non-archimedean Frechet space with a subsymmetric basis is isomorphic to ?ℕ. In fact, much stronger results are obtained.
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