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Condensor Principle and the Unit Contraction
Published online by Cambridge University Press: 22 January 2016
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Deny introduced in [4] the notion of functional spaces by generalizing Dirichlet spaces. In this paper, we shall give the following necessary and sufficient conditions for a functional space to be a real Dirichlet space.
Let be a regular functional space with respect to a locally compact Hausdorff space X and a positive measure ξ in X. The following four conditions are equivalent.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1966
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