The closure of cones in the algebra of test functions |
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Authors: | Gerald Hofmann |
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Institution: | Sektion Mathematik, Karl-Marx-Universität Leipzig, Leipzig, G.D.R. |
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Abstract: | We prove that the topological closure of the cone K of positive elements in the algebra of test functions is the same for several topologies (K?τo° = K?τ∞). Further we show that all elements of the closure of K are of the form and the sum converges. Applying these results, we give a characterization of the elements of K?τo too. |
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