A link between global solvability and solvability over compacts for systems like :
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Giuliano Bratti (1979)
Rendiconti del Seminario Matematico della Università di Padova
Stephen A. Williams (1976)
Mathematische Annalen
Giuliano Bratti (1977)
Rendiconti del Seminario Matematico della Università di Padova
Lamberto Cattabriga (1983)
Rendiconti del Seminario Matematico della Università di Padova
P. Domański, D. Vogt (2000)
Studia Mathematica
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'
Barkatou, Mohammed (2008)
Applied Mathematics E-Notes [electronic only]
B. Gustafsson, Makoto Sakai (1992)
Mathematica Scandinavica
Hikosaburo Komatsu (1992)
Banach Center Publications
Carlos A. Berenstein, P.C. Yang (1987)
Journal für die reine und angewandte Mathematik
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