Trends in education, 2010 (vol. 3), issue 1

TVV 2010, 3(1):172-175

GENERALIZED CONVERGENCE OF SERIES

MASÁROVÁ Renáta
Tento článok je súčasťou grantu VEGA 1/0582/08

This article sumarizes the fundamental results about rearrangements and changes of signes in number series and series in Banach spaces.

Keywords: serie, convergence preserving, rearrangement, Banach space.

Published: July 1, 2010  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
MASÁROVÁ, R. (2010). GENERALIZED CONVERGENCE OF SERIES. Trends in education, 3(1), 172-175
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. AGNEW, R. P. On rearrangements of series, Bull. Amer. Math. Soc. 46 (1940), 797799. Go to original source...
    2. BHATTCHARYYA, S., LAHIRI, B. On subseries of series, Indian J. Math. 18 (1976), 91-93.
    3. ČERVEŇANSKÝ, J., ŠALÁT T. Convergence preserving permutations of N and Freschets space of permutations of N, Math. Slov., 49(1999), No.2., 189-199.
    4. KADETS, M. I., KADETS,V. M. Series in Banach Spaces, Birkhäuser Verlag, Berlin, 1997. Go to original source...
    5. LEGÉŇ, A., ŠALÁT, T. O nekotorych primenenijach metoda kategorij v teorii prostranstv posledovateľnostej, Mat.-fyz. čas. SAV 14 (1964), 217-233.
    6. MASÁROVÁ, R. Transformácie množiny súčtov nekonečných konvergentných radov s kladnými členmi, ACTA Fac. Paed. Univ. Tyrnaviensis, Pdf TU Trnava, (2001), 55-61.
    7. PLEASANTS, P. A. B. Rearrangements that preserve convergence, J. London Math. Soc. (2) 15 (1977), 134-142. Go to original source...
    8. SENGUPTA, H. M. Rearrangements of series, Proc. Amer. Math. Soc. 7 (1956), 347350. Go to original source...
    9. ŠALÁT, T. O istých vlastnostiach radov s kladnými členmi, Acta. fac. rerum natur. univ. com., Mathematica II (1957), 71-75.

    This is an open access article distributed under the terms of the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content