A splitting theory for the space of distributions
Domański, P. ; Vogt, D.
Studia Mathematica, Tome 141 (2000), p. 57-77 / Harvested from The Polish Digital Mathematics Library
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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'

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:216756 
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Domański, P.; Vogt, D. A splitting theory for the space of distributions. Studia Mathematica, Tome 141 (2000) pp. 57-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv140i1p57bwm/

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