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Weighted spaces of vector-valued continuous functions

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Summary

We study completeness of weighted spaces of vector-valued functions. Also, the dual of a weighted space of vector-valued continuous functions on a locally compact space is characterized as a space of vector valued Radon measures with values in the topological dual of the range space.

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Additional information

Research supported by a grant from the National Science Foundation, GP 22713.

Entrata in Redazione il 25 ottobre 1970.

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Prolla, J.B. Weighted spaces of vector-valued continuous functions. Annali di Matematica 89, 145–157 (1971) doi:10.1007/BF02414945

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Keywords

  • Continuous Function
  • Compact Space
  • Radon Measure
  • Weighted Space
  • Range Space