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Locally convex spaces
of non-Archimedean valued continuous functions
Willy Govaerts |
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Vol. 109 (1983), No. 2, 399–410
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Abstract |
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We study the space C(X,K,𝒫) of all continuous functions from the ultraregular space X into the non-Archimedean valued field K with topology of uniform convergence on a family 𝒫 of subsets of the Z-repletion of X. We characterize the bornological space associated to C(X,K,𝒫), semi-bornological spaces C(X,K,𝒫), reflexivity and semi-reflexivity both for spherically complete and non-spherically complete K. |
Mathematical Subject Classification 2000
Primary: 46P05, 46P05
Secondary: 46E10
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Milestones
Received: 8 October 1981
Revised: 15 October 1982
Published: 1 December 1983
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Authors |
| Willy Govaerts | |
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