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Publication:2777729
zbMath1031.46083MaRDI QIDQ2777729
Publication date: 18 June 2002
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splitting theoremshort exact sequencePLS-spacequotient of \({\mathcal D}'\)subspace of \({\mathcal D}\)
Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (5)
A conjecture of Palamodov about the functors \(\text{Ext}^{k}\) in the category of locally convex spaces. ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations ⋮ A homological approach to the splitting theory of \(\mathrm{PLS}_{\mathrm{w}}\) spaces ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences
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