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A representation of the space \(C^ k_ 0(\Omega,E)\). (Spanish. English summary) Zbl 0585.46029

Summary: In this paper we give a representation of the spaces \(C^ k_ 0(\Omega,E)\) and prove that the space \(C^ k(I,E)\) has certain properties of complementation. Other related spaces are studied.

MSC:

46E40 Spaces of vector- and operator-valued functions
46E10 Topological linear spaces of continuous, differentiable or analytic functions
46F05 Topological linear spaces of test functions, distributions and ultradistributions
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