On property K in F -spaces

Józef Burzyk; Andrzej Kamiński

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 2, page 209-222
  • ISSN: 0139-9918

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Burzyk, Józef, and Kamiński, Andrzej. "On property $K$ in $F$-spaces." Mathematica Slovaca 49.2 (1999): 209-222. <http://eudml.org/doc/31573>.

@article{Burzyk1999,
author = {Burzyk, Józef, Kamiński, Andrzej},
journal = {Mathematica Slovaca},
keywords = {-space; property ; property N; -subspace; -subspace; dense algebraic complement; -space},
language = {eng},
number = {2},
pages = {209-222},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On property $K$ in $F$-spaces},
url = {http://eudml.org/doc/31573},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Burzyk, Józef
AU - Kamiński, Andrzej
TI - On property $K$ in $F$-spaces
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 2
SP - 209
EP - 222
LA - eng
KW - -space; property ; property N; -subspace; -subspace; dense algebraic complement; -space
UR - http://eudml.org/doc/31573
ER -

References

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  1. ALEXIEWICZ A., On sequences of operations, (II), Studia Math. 11 (1950), 200-236. (1950) Zbl0039.12002MR0039170
  2. ANTOSIK P.-BURZYK J., Sequential conditions for barrelledness and bornology, Bull. Polish Acad. Sci. Math. 35 (1987), 151-155. (1987) Zbl0642.46003MR0939007
  3. ANTOSIK P.-SWARTZ C., Matrix Methods in Analysis, Lecture Notes in Math. 1113, Springer-Verlag, Berlin, 1985. (1985) Zbl0564.46001MR0781343
  4. BURZYK J., An example of a non-complete normed N-space, Bull. Polish Acad. Sci. Math. 35 (1987), 449-455. (1987) Zbl0647.46001MR0939006
  5. BURZYK J., Independence of sequences in convergence linear spaces, In: General Topology and its Relations to Modern Analysis and Algebra VI, Proc. of the Sixth Prague Topological Symposium 1986, Heldermann Verlag, Berlin, 1988, pp. 49-59. (1986) MR0952590
  6. BURZYK J., Decompositions of F-spaces into spaces with properties K, N, or κ, In: Generalized Functions and Convergence, Memorial Volume for Professor Jan Mikusiňski, World Scientific, Singapore, 1990, pp. 317-329. (1990) MR1085519
  7. BURZYK J.-KAMIŇSKI A., Operations on convergences, Tatra Mt. Math. Publ. 14 (1998), 199-212. (1998) Zbl0938.54005MR1651212
  8. BURZYK J.-KLIS C.-LIPECKI Z., On metrizable Abelian groups with a completeness-type property, Colloq. Math. 49 (1984), 33-39. (1984) Zbl0552.46001MR0774847
  9. CHERESIZ V. M., On the weak completeness of the dual to a convergence space, Dokl. Akad. Nauk SSSR 201 (1971), 548-551. (Russian) (1971) MR0295021
  10. DREWNOWSKI L., A solution to a problem of De Wilde and Tsirulnikov, Manuscripta Math. 37 (1982), 61-64. (1982) Zbl0486.46003MR0649564
  11. DREWNOWSKI L.-LABUDA I.-LIPECKI Z., Existence of quasi-bases for separable topological linear spaces, Arch. Math. (Basel) 37 (1981), 454-456. (1981) Zbl0491.46005MR0643288
  12. DREWNOWSKI L.-LIPECKI Z., On some dense subspaces of topological linear spaces. II, Comment. Math. Prace Mat. 28 (1989), 175-188. (1989) Zbl0770.46001MR1024936
  13. FOGED L., The Baire category theorem for Fréchet groups in which every null sequence has a summable subsequence, Topology Proc. 8 (1983), 259-266. (1983) Zbl0557.22002MR0765082
  14. KLIS, C, An example of noncomplete normed (K)-space, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 415-420. (1978) Zbl0393.46017MR0500088
  15. LABUDA I.-LIPECKI Z., On subseries convergent series and m-quasi-bases in topological linear spaces, Manuscripta Math. 38 (1982), 87-98. (1982) Zbl0496.46006MR0662771
  16. LIPECKI Z., On some dense subspaces of topological linear spaces, Studia Math. 77 (1984), 413-421. (1984) Zbl0552.46002MR0751762
  17. MAZUR S.-ORLICZ W., Sur les espaces metriques lineaires (II), Studia Math. 13 (1953), 137-179. (1953) Zbl0052.11103MR0068730
  18. ROLEWICZ S., Metric Linear Spaces, (2nd ed.), PWN-Reidel, Warszawa-Dordrecht, 1984. (1984) MR0802450
  19. SOBOLEV S. L., Introduction to the Theory of Cubature Formulae, Nauka, Moscow, 1974. (Russian) (1974) MR0478560

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