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Displaying similar documents to “Banach spaces, à la recherche du temps perdu.”

On exact sequences of quojections.

G. Metafune, V. B. Moscatelli (1991)

Revista Matemática de la Universidad Complutense de Madrid

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We give some general exact sequences for quojections from which many interesting representation results for standard twisted quojections can be deduced. Then the methods are also generalized to the case of nuclear Fréchet spaces.

Banach spaces

Laurent Gruson, Marius van der Put (1974)

Mémoires de la Société Mathématique de France

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Report on twisted sums of Banach spaces.

Félix Cabello, Jesús M. Fernández Castillo (1996)

Extracta Mathematicae

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This note is to report some of the advances obtained as a follow-up of the book [2] on the topic of twisted sums of Banach spaces. Since this announcement is no longer enough to contain the theory being developed, we submit the interested reader to [2] and to [1], where full details and proofs shall appear.

A splitting theory for the space of distributions

P. Domański, D. Vogt (2000)

Studia Mathematica

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The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'

The two-square lemma.

Temple H. Fay, Keith A. Hardie, Peter J. Hilton (1989)

Publicacions Matemàtiques

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A new proof is given of the connecting homomorphism.