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Non-archimedean closed graph theorems

2018
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Filomat
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We consider linear maps T : X → Y, where X and Y are polar local convex spaces over a complete non-archimedean field K. Recall that X is called polarly barrelled, if each weakly * bounded subset in the dual X is equicontinuous. If in this definition weakly * bounded subset is replaced by weakly * bounded sequence or sequence weakly * converging to zero, then X is said to be ∞ -barrelled or c 0 -barrelled, respectively. For each of these classes of locally convex spaces (as well as the class of

doi:10.2298/fil1811933l
fatcat:vtvnposqfjftte3wuytiwvdd4u