Geodesic
A splitting theory for the space of distributions
Studia Mathematica, Tome 140 (2000) no. 1, pp. 57-77

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DOI

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'
DOI : 10.4064/sm-140-1-57-77
Keywords: exact complex, systems of partial differential equations, short exact sequence, splitting, space of distributions, lifting of Banach discs, Schwartz spaces, nuclear spaces, ultrabornological associated space, ω 
P. Domański; D Vogt. A splitting theory for the space of distributions. Studia Mathematica, Tome 140 (2000) no. 1, pp. 57-77. doi: 10.4064/sm-140-1-57-77
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