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Research output: Contribution to journal › Article › Scientific › peer-review
Let X be a separable metric space and let β be the strict topology on the space of bounded continuous functions on X, which has the space of τ-additive Borel measures as a continuous dual space. We prove a Banach-Dieudonné type result for the space of bounded continuous functions equipped with β: the finest locally convex topology on the dual space that coincides with the weak topology on all weakly compact sets is a k-space. As a consequence, the space of bounded continuous functions with the strict topology is hypercomplete and a Pták space. Additionally, the closed graph, inverse mapping and open mapping theorems holds for linear maps between space of this type.
Original language | English |
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Pages (from-to) | 181-188 |
Number of pages | 8 |
Journal | Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology |
Volume | 209 |
DOIs | |
Publication status | Published - 15 Aug 2016 |
Research output: Contribution to journal › Comment/Letter to the editor › Scientific