Maps preserving convergence of series
Mathematica slovaca, Tome 51 (2001) no. 1, pp. 75-91
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Classification : 40A05, 46A16, 47H99
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     url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a7/}
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Drewnowski, Lech. Maps preserving convergence of series. Mathematica slovaca, Tome 51 (2001) no. 1, pp. 75-91. http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a7/

[BO] BIRNBAUM Z. W.-ORLICZ W.: Über die Verallgemeinerung des Begriffes der zweinander konjugierten Potenzen. Studia Math. 3 (1931), 1-67.

[BCS] BORSÍK J.-ČERVEŇANSKÝ J.-ŠALÁT T.: Remarks on functions preserving convergence of infinite series. Real Anal. Exchange 21 (1995/6), 725-731. | MR | Zbl

[BPR] BESSAGA C.-PELCZYNSKI A.-ROLEWICZ S.: Some properties of the space (s). Colloq. Math. 7 (1957), 45-51. | MR

[DMS] DINDOS M.-MARTIŠOVITŠ I.-ŠALÁT T.: Remarks on infinite series in linear normed spaces. Tatra Mt. Math. Publ. (Real Functions. Part I) 19 (2000), 31-46. | MR | Zbl

[D] DREWNOWSKI L.: On minimally sub space-comparable F-spaces. J. Funct. Anal. 26 (1977), 315-332. | MR

[G] GRINNELL R. J.: Functions preserving sequence spaces. Real Anal. Exchange 25 (1999/00), 239-255. | MR

[J] JARCHOW H.: Locally Convex Spaces. B. G. Teubner, Stuttgart, 1981. | MR | Zbl

[K] KOSTYRKO P.: On convergence preserving transformations of infinite series. Math. Slovaca 46 (1996), 239-243. | MR | Zbl

[MO] MAZUR S.-ORLICZ W.: On some classes of linear spaces. Studia Math. 17 (1958), 97-119. | MR | Zbl

[Ra] RADO R.: A theorem on infinite series. J. London Math. Soc. 35 (1960), 273-276. | MR | Zbl

[Ro] ROLEWICZ S.: Metric Linear Spaces. Polish Sci. Publ. -Reidel Publ. Co., Warszawa, 1984. | MR

[S] SMITH A.: Convergence preserving functions: an alternative discussion. Amer. Math. Monthly 98 (1991), 831-833. | MR | Zbl

[W] WILDENBERG G.: Convergence preserving functions. Amer. Math. Monthly 95 (1988), 542-544. | MR | Zbl