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Matematicheskie Zametki, 1969, Volume 6, Issue 3, Pages 329–334
(Mi mzm6939)
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Basis sequences in a Montel space
L. E. Lerer V. I. Lenin Kishinev State University
Abstract:
We establish the following theorem: for a Frechet space $E$ to be a Montel space it is necessary and sufficient that any basis sequence in $E$ contains an absolute basis subsequence that spans a non-normable space.
Received: 10.06.1968
Citation:
L. E. Lerer, “Basis sequences in a Montel space”, Mat. Zametki, 6:3 (1969), 329–334; Math. Notes, 6:3 (1969), 653–656
Linking options:
https://www.mathnet.ru/eng/mzm6939 https://www.mathnet.ru/eng/mzm/v6/i3/p329
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