On sequences in vector lattices
Mathematica Bohemica (1995)
- Volume: 120, Issue: 4, page 379-385
- ISSN: 0862-7959
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topJakubík, Ján. "On sequences in vector lattices." Mathematica Bohemica 120.4 (1995): 379-385. <http://eudml.org/doc/247810>.
@article{Jakubík1995,
abstract = {In this paper we investigate conditions for a system of sequences of elements of a vector lattice; analogous conditions for systems of sequences of reals were studied by D. E. Peek.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {vector lattice; $o$-convergence; Archimedean property; vector lattice; -convergence; Archimedean property},
language = {eng},
number = {4},
pages = {379-385},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On sequences in vector lattices},
url = {http://eudml.org/doc/247810},
volume = {120},
year = {1995},
}
TY - JOUR
AU - Jakubík, Ján
TI - On sequences in vector lattices
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 4
SP - 379
EP - 385
AB - In this paper we investigate conditions for a system of sequences of elements of a vector lattice; analogous conditions for systems of sequences of reals were studied by D. E. Peek.
LA - eng
KW - vector lattice; $o$-convergence; Archimedean property; vector lattice; -convergence; Archimedean property
UR - http://eudml.org/doc/247810
ER -
References
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- R. Frič, 10.2307/44153821, Real Analysis Exchange 19 (1993/94), 129-134. (1993) MR1268838DOI10.2307/44153821
- J. Jakubík, On the convergence in linear spaces, Matem. fyz. časopis 6 (1956), 57-67. (In Slovak.) (1956) MR0084718
- J. Jakubík, On systems of sequences of reals, Tatra Mountains Math. Publ. 2, 1993, pp. 19-23. (1993) MR1251033
- B. Kirchheim, 10.2307/44152305, Real Analysis Exchange 18 (1992/93), no. 2, 568-570. (1992) MR1228426DOI10.2307/44152305
- W. A. J. Luxemburg A. C. Zaanen, Riesz spaces, I., North Holland, Amsterdam, 1971. (1971)
- D. E. Peek, 10.2307/44153767, Real Analysis Exchange 17 (1991/92), 751-758. (1991) MR1171415DOI10.2307/44153767
- B. Z. Vulikh, Introduction to the theory of partially ordered spaces, Moskva, 1961. (In Russian.) (1961)
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