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| Volume 36 • Number 1 • 2013 |
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Unbounded Weighted Radon Measures and Dual of Certain Function Spaces with Strict Topology
S. Maghsoudi and A. Rejali
Abstract.
Let X be a C-distinguished topological space, and let ω be a weight function on X. Denote by Cb(X,ω) the space of all real-valued functions f with f/ω∈Cb(X), and by ˜Cb(X,ω) the space of all real-valued continuous functions f such that f/ω is bounded. We introduce certain locally convex topologies on Cb(X,ω) and ˜Cb(X,ω), and as our main results we determine their duals.
2010 Mathematics Subject Classification: Primary 46E10, 46E27 Secondary: 46A03, 46A40
Full text: PDF
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