A splitting theorem for the space of smooth functions

DOI10.1006/jfan.1997.3177zbMath0912.46026OpenAlexW2053182696MaRDI QIDQ1269615

Dietmar Vogt, Paweł Domański

Publication date: 3 May 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3177

zbMATH Keywords

convolution operatorsspace of smooth functionscontinuous linear right inverseexact complexreduced spectrumgraded Fréchet spacelinear differential operators with constant coefficientssplitting of exact sequence

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Overdetermined systems of PDEs with constant coefficients (35N05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (6)

Splitting of exact sequences of Fréchet spaces in the absence of continuous norms ⋮ On the work of Lech Drewnowski ⋮ Exterior multiplication with singularities: a Saito theorem in vector bundles ⋮ A separable Fréchet space of almost universal disposition ⋮ The exactness of the projective limit functor on the category of quotients of Frechet spaces ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions

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