Abstract
A characterization of unconditional convergent series is given for the case of sequentially complete locally convex spaces. From it we show that if $E$ is a barrelled space with continuous dual $E'$, then ($E'$, $\beta (E'$, $E$)) contains no copy of ($c_0,~\|\cdot \|_\infty$) if and only if every continuous linear operator $T:E\to l_1$ is both compact and sequentially compact.
Citation
Junde Wu. Ronglu Li. "UNCONDITIONAL CONVERGENT SERIES ON LOCALLY CONVEX SPACES." Taiwanese J. Math. 4 (2) 253 - 259, 2000. https://doi.org/10.11650/twjm/1500407230
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