Casado-Diaz, Juan; Gayte, Immaculada A general compactness result and its application to the two-scale convergence of almost periodic functions. (English. Abridged French version) Zbl 0865.46003 C. R. Acad. Sci., Paris, Sér. I 323, No. 4, 329-334 (1996). Summary: We present a new general compactness result. This can be viewed as a generalization of the fact that the unit ball of a Hilbert space is weakly compact. Some consequences are Nguetseng’s result on the two-scale convergence of periodic functions and a similar (and new) result for almost periodic functions. Cited in 11 Documents MSC: 46A50 Compactness in topological linear spaces; angelic spaces, etc. 42A75 Classical almost periodic functions, mean periodic functions Keywords:compactness; two-scale convergence of periodic functions; almost periodic functions PDFBibTeX XMLCite \textit{J. Casado-Diaz} and \textit{I. Gayte}, C. R. Acad. Sci., Paris, Sér. I 323, No. 4, 329--334 (1996; Zbl 0865.46003)