On vector lattices of elementary Carathéodory functions

Ján Jakubík

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 1, page 223-236
  • ISSN: 0011-4642

Abstract

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In this paper we deal with the vector lattice C ( B ) of all elementary Carathéodory functions corresponding to a generalized Boolean algebra B .

How to cite

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Jakubík, Ján. "On vector lattices of elementary Carathéodory functions." Czechoslovak Mathematical Journal 55.1 (2005): 223-236. <http://eudml.org/doc/30940>.

@article{Jakubík2005,
abstract = {In this paper we deal with the vector lattice $C(B)$ of all elementary Carathéodory functions corresponding to a generalized Boolean algebra $B$.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized Boolean algebra; elementary Carathéodory functions; Specker lattice ordered group; $(\alpha , \beta )$-distributivity; complete distributivity; generalized Boolean algebra; elementary Carathéodory functions; Specker lattice-ordered group; -distributivity; complete distributivity},
language = {eng},
number = {1},
pages = {223-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On vector lattices of elementary Carathéodory functions},
url = {http://eudml.org/doc/30940},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Jakubík, Ján
TI - On vector lattices of elementary Carathéodory functions
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 1
SP - 223
EP - 236
AB - In this paper we deal with the vector lattice $C(B)$ of all elementary Carathéodory functions corresponding to a generalized Boolean algebra $B$.
LA - eng
KW - generalized Boolean algebra; elementary Carathéodory functions; Specker lattice ordered group; $(\alpha , \beta )$-distributivity; complete distributivity; generalized Boolean algebra; elementary Carathéodory functions; Specker lattice-ordered group; -distributivity; complete distributivity
UR - http://eudml.org/doc/30940
ER -

References

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  13. 10.1090/S0002-9947-1962-0138569-8, Trans. Amer. Math. Soc. 114 (1962), 334–346. (1962) Zbl0105.09401MR0138569DOI10.1090/S0002-9947-1962-0138569-8

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