K-convergence entails absolute K-convergence in quasi-normed groups

Isidore Fleischer

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 5, page 559-564
  • ISSN: 0232-0525

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Fleischer, Isidore. "K-convergence entails absolute K-convergence in quasi-normed groups." Mathematica Slovaca 51.5 (2001): 559-564. <http://eudml.org/doc/31544>.

@article{Fleischer2001,
author = {Fleischer, Isidore},
journal = {Mathematica Slovaca},
keywords = {K-convergence; sliding hump; continuous quasi-norms; matrix convergence; boundedness theorems},
language = {eng},
number = {5},
pages = {559-564},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {K-convergence entails absolute K-convergence in quasi-normed groups},
url = {http://eudml.org/doc/31544},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Fleischer, Isidore
TI - K-convergence entails absolute K-convergence in quasi-normed groups
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 5
SP - 559
EP - 564
LA - eng
KW - K-convergence; sliding hump; continuous quasi-norms; matrix convergence; boundedness theorems
UR - http://eudml.org/doc/31544
ER -

References

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  1. ANTOSIK P., A lemma on matrices and its applications, In: Geometry of Normed Linear Spaces (R. G. Bartle et al., ed.), Contemp. Math 52, Amer. Math. Soc, Providence, RI, 1986, pp. 89-95. (1986) Zbl0595.46001MR0840697
  2. ANTOSIK P.-SWARTZ C., Matrix Methods in Analysis, Lecture Notes in Math. 1113, Springer, New York, 1985. (1985) Zbl0564.46001MR0781343
  3. FLEISCHER I.-TRAYNOR T., Equicontinuity and uniform boundedness for non-commutative groups, J. Math. Anal. Appl. 138 (1989), 349-357. (1989) Zbl0699.47017MR0991029
  4. FLORENCЮ M.-PAÚL P. J.-M. VIRUÉS J., On the Mikusinski-Antosik diagonal theorem, Bull. Polish Acad. Sci. Math. 40 (1992), 189-195. (1992) MR1401871
  5. SWARTZ C., Infinite Matrices and the Gliding Hump, World Sci. Publ., Singapore, 1996. (1996) Zbl0923.46003MR1423136
  6. TRAYNOR T., A diagonal theorem in non-commutative groups and its consequences, Ricerche Mat. 41 (1992), 77-87. (1992) Zbl0779.28006MR1305345

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