Maps preserving convergence of series

Lech Drewnowski

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 1, page 75-91
  • ISSN: 0139-9918

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Drewnowski, Lech. "Maps preserving convergence of series." Mathematica Slovaca 51.1 (2001): 75-91. <http://eudml.org/doc/32210>.

@article{Drewnowski2001,
author = {Drewnowski, Lech},
journal = {Mathematica Slovaca},
keywords = {convergent series; unconditionally convergent series; map preserving convergence of series},
language = {eng},
number = {1},
pages = {75-91},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Maps preserving convergence of series},
url = {http://eudml.org/doc/32210},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Drewnowski, Lech
TI - Maps preserving convergence of series
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 1
SP - 75
EP - 91
LA - eng
KW - convergent series; unconditionally convergent series; map preserving convergence of series
UR - http://eudml.org/doc/32210
ER -

References

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  2. BORSÍK J.-ČERVEŇANSKÝ J.-ŠALÁT T., Remarks on functions preserving convergence of infinite series, Real Anal. Exchange 21 (1995/6), 725-731. (1995) Zbl0879.26040MR1407285
  3. BESSAGA C.-PELCZYNSKI A.-ROLEWICZ S., Some properties of the space (s), Colloq. Math. 7 (1957), 45-51. (1957) MR0110015
  4. 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. Zbl0984.40001MR1771020
  5. DREWNOWSKI L., On minimally sub space-comparable F-spaces, J. Funct. Anal. 26 (1977), 315-332. (1977) MR0500065
  6. GRINNELL R. J., Functions preserving sequence spaces, Real Anal. Exchange 25 (1999/00), 239-255. (1999) MR1758005
  7. JARCHOW H., Locally Convex Spaces, B. G. Teubner, Stuttgart, 1981. (1981) Zbl0466.46001MR0632257
  8. KOSTYRKO P., On convergence preserving transformations of infinite series, Math. Slovaca 46 (1996), 239-243. (1996) Zbl0891.40001MR1427008
  9. MAZUR S.-ORLICZ W., On some classes of linear spaces, Studia Math. 17 (1958), 97-119. (1958) Zbl0085.32203MR0098319
  10. RADO R., A theorem on infinite series, J. London Math. Soc. 35 (1960), 273-276. (1960) Zbl0098.26703MR0145321
  11. ROLEWICZ S., Metric Linear Spaces, Polish Sci. Publ. -Reidel Publ. Co., Warszawa, 1984. (1984) MR0802450
  12. SMITH A., Convergence preserving functions: an alternative discussion, Amer. Math. Monthly 98 (1991), 831-833. (1991) Zbl0783.40002MR1133000
  13. WILDENBERG G., Convergence preserving functions, Amer. Math. Monthly 95 (1988), 542-544. (1988) Zbl0664.40001MR0945022

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