Using the method of nonstandard analysis, we prove and generalize the theorem of Eberlein-Smulian, and obtain the equivalence of W-compact、W-coutably compact and W-sequentially compact in metrizable locally convex spaces.
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覃左平.可度量的局部凸空间的弱集性[J].国防科技大学学报,1997,19(4):110-114. Qing Zuoping. W-Compactness Metrizable Locally Convex Spaces[J]. Journal of National University of Defense Technology,1997,19(4):110-114.