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Montel Subspaces in the Countable Projective Limits of Lp(μ)-Spaces

Published online by Cambridge University Press:  20 November 2018

J. C. Díaz
J. C. Díaz*
Affiliation:
Cátedra de Matemáticas. E.T.S.I.A., 14004 Cordoba, Spain
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Abstract

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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(μn) spaces. Then, F is Montel if and only if no infinite dimensional subspace of F is normable.

Keywords

46A14
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989 , pp. 169 - 176
Copyright
Copyright © Canadian Mathematical Society 1989

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