RT Journal Article
T1 Barrelledness conditions on S(Σ;E) and B(Σ;E).
A1 Mendoza Casas, José
AB Let Ω be a nonempty set, and let Σ be a field of subsets of Ω. If E is a locally convex space we denote by S(Σ;E) the vector space of all Σ-simple functions defined on Ω with values in E, and by B(Σ;E) the vector space of all functions defined on Ω with values in E which are uniform limits of Σ-simple functions. We give some results characterizing when the spaces S(Σ;E) and B(Σ;E) endowed with the uniform convergence topology are barrelled or infrabarrelled.
PB Springer
SN 0025-5831
YR 1982
FD 1982
LK https://hdl.handle.net/20.500.14352/64686
UL https://hdl.handle.net/20.500.14352/64686
LA eng
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RD 4 may 2024