Geodesic
Montel Subspaces in the Countable Projective Limits of Lp (μ)-Spaces
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 169-176

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DOI

Let us suppose one of the following conditions: (a) p ≧ 2 and F is a closed subspace of a projective limit (b) p = 1 and F is a complemented subspace of an echelon Köthe space of order 1, Λ(X,β,μ,gk); and (c) 1 > p > 2 and F is a quotient of a countable product of Lp (μ n) spaces. Then, F is Montel if and only if no infinite dimensional subspace of F is normable.
DOI : 10.4153/CMB-1989-025-4
Mots-clés : 46A14 
Díaz, J. C. Montel Subspaces in the Countable Projective Limits of Lp (μ)-Spaces. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 169-176. doi: 10.4153/CMB-1989-025-4
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     title = {Montel {Subspaces} in the {Countable} {Projective} {Limits} of {Lp} {(\ensuremath{\mu})-Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1989},
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     number = {2},
     doi = {10.4153/CMB-1989-025-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-025-4/}
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