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Measures as functionals
on uniformly continuous functions
Jan K. Pachl |
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Vol. 82 (1979), No. 2, 515–521
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Abstract |
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The space Mt of bounded Radon measures on a complete metric space is studied in duality with the space 𝒰b of bounded uniformly continuous functions. The weak topology has reasonable properties: the space Mt is 𝒰b-weakly sequentially complete, and every 𝒰b-weakly compact subset of Mt is pointwise equicontinuous on the set of 1-Lipschitz functions. |
Mathematical Subject Classification 2000
Primary: 28A33
Secondary: 46E27
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Milestones
Received: 12 April 1978
Published: 1 June 1979
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Authors |
| Jan K. Pachl | |
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