On the extension of subadditive measures in lattice ordered groups

Marta Vrábelová

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 1, page 95-103
  • ISSN: 0011-4642

Abstract

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A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a σ -algebra.

How to cite

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Vrábelová, Marta. "On the extension of subadditive measures in lattice ordered groups." Czechoslovak Mathematical Journal 57.1 (2007): 95-103. <http://eudml.org/doc/31115>.

@article{Vrábelová2007,
abstract = {A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a $\sigma $-algebra.},
author = {Vrábelová, Marta},
journal = {Czechoslovak Mathematical Journal},
keywords = {subadditive measure; lattice ordered groups; subadditive measure; lattice ordered groups},
language = {eng},
number = {1},
pages = {95-103},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the extension of subadditive measures in lattice ordered groups},
url = {http://eudml.org/doc/31115},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Vrábelová, Marta
TI - On the extension of subadditive measures in lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 95
EP - 103
AB - A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a $\sigma $-algebra.
LA - eng
KW - subadditive measure; lattice ordered groups; subadditive measure; lattice ordered groups
UR - http://eudml.org/doc/31115
ER -

References

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  1. Extension of continuous outer measure on a Boolean algebra, Izv. VUZ 4(119) (1972), 3–9. (Russian) (1972) 
  2. On subadditive operators on  C 0 ( T ) , Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20 (1972), 561–562. (1972) Zbl0237.47035MR0318856
  3. Topological rings of sets, continuous set functions, integration  I, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20 (1972), 269–276. (1972) Zbl0249.28004MR0306432
  4. Topological rings of sets, continuous set functions, integration  II, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20 (1972), 277–286. (1972) Zbl0249.28005MR0316653
  5. A direct proof of the Mathes-Wright integral extension theorem, J.  London Math. Soc.,  II. Ser.  11 (1975), 267–284. (1975) MR0380345
  6. An extension of the Daniell integration scheme, Mat. Čas. 25 (1975), 211–219. (1975) MR0396889
  7. Integral, Measure and Ordering. Mathematics and its Applications,  411, Kluwer, Dordrecht, 1997. (1997) MR1489521
  8. On a technical lemma in lattice ordered groups, Acta Math. Univ. Comenianae 44–45 (1984), 31–35. (1984) MR0775002

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