Comments to Enflo's construction of Banach space without the approximation property
S. Kwapien (1972-1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
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S. Kwapien (1972-1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
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S. Kwapien (1972-1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Al-Minawi, H., Ayesh, S. (1991)
International Journal of Mathematics and Mathematical Sciences
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Giovanni Emmanuele, Kamil John (2000)
Czechoslovak Mathematical Journal
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W. Johnson, A. Szankowski (1976)
Studia Mathematica
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Alfredo Peris (1993)
Studia Mathematica
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We exhibit examples of countable injective inductive limits E of Banach spaces with compact linking maps (i.e. (DFS)-spaces) such that is not an inductive limit of normed spaces for some Banach space X. This solves in the negative open questions of Bierstedt, Meise and Hollstein. As a consequence we obtain Fréchet-Schwartz spaces F and Banach spaces X such that the problem of topologies of Grothendieck has a negative answer for . This solves in the negative a question of Taskinen....
Gerald W. Johnson, Loren V. Petersen (1977)
Commentationes Mathematicae Universitatis Carolinae
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