… Indeed, given a balanced neighborhood W of zero in E, we use the continuity of the addition to obtain a balanced neighborhood V of zero in E such that V +V C W. Since A is totally bounded, there is a finite set FeE such that A C F +V. Let F = {Xl" ", xn}. …
CITATION STYLE
Fabian, M., Habala, P., Hájek, P., Santalucía, V. M., Pelant, J., & Zizler, V. (2001). Locally Convex Spaces. In Functional Analysis and Infinite-Dimensional Geometry (pp. 107–136). Springer New York. https://doi.org/10.1007/978-1-4757-3480-5_4
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