Geodesic
On measures and integrals with values in ordered groups
Mathematica slovaca, Tome 33 (1983) no. 2, pp. 153-163
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 28B10, 28B15 
@article{MASLO_1983_33_2_a5,
     author = {Rie\v{c}an, Beloslav},
     title = {On measures and integrals with values in ordered groups},
     journal = {Mathematica slovaca},
     pages = {153--163},
     year = {1983},
     volume = {33},
     number = {2},
     mrnumber = {699085},
     zbl = {0519.28004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1983_33_2_a5/}
}
TY  - JOUR
AU  - Riečan, Beloslav
TI  - On measures and integrals with values in ordered groups
JO  - Mathematica slovaca
PY  - 1983
SP  - 153
EP  - 163
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_1983_33_2_a5/
LA  - en
ID  - MASLO_1983_33_2_a5
ER  - 
%0 Journal Article
%A Riečan, Beloslav
%T On measures and integrals with values in ordered groups
%J Mathematica slovaca
%D 1983
%P 153-163
%V 33
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_1983_33_2_a5/
%G en
%F MASLO_1983_33_2_a5
Riečan, Beloslav. On measures and integrals with values in ordered groups. Mathematica slovaca, Tome 33 (1983) no. 2, pp. 153-163. http://geodesic.mathdoc.fr/item/MASLO_1983_33_2_a5/

[1] ALFSEN E. M.: Ordeг preserving maps and integгation processes. Math. Ann. 149, 1963, 419-461.

[2] CRISTESCU R.: Spatii liniare si operatoгi liniari. Bucuresti 1971.

[3] FREMLIN D. H.: A direct proof of the Mathes-Wright integгal extension theoгem. Ј. London. Math. Soc. 11, 1975, 276-284. | MR

[4] KANTOROVIČ L. V.: Suг la continuité et sur le prolongement des opérations linéaires. C. R. Acad. Sci. de ľU. R. S. S. 206, 1938, 833-835.

[5] RIEČAN B.: O нeпpepывнoм пpoдoлжeнии мoнoтoнныx фyнкциoнaлoв нeкoтopoгo типa. Mat.-fyz. čas. 15, 1965, 116-125.

[6] RIEČAN B.: O пpoдoлжeнии oпepaтopoв c знaчeниями в линeйныx пoлyпopядoчeнныx пpocтpaнcтвax. Čas. pěst. mat. 93, 1968, 459-471.

[7] RIEČAN B.: On the lattice group valued measures. Čas. pěst. mat. 101, 1976, 343-349. | MR

[8] RIEČAN B.: A simplified proof of the Daniell integral extension theorem in ordeгed spaces. Math. Slovaca 32, 1982, 75-79. | MR

[9] VOLAUF P.: Extension and regulaгity of l-group valued measures. Math. Slovaca 27, 1977, 47-53. | MR

[10] VOLAUF P.: On extension of maps with values in ordered spaces. Math. Slovaca 30, 1980, 351-361. | MR | Zbl

[11] VONКOMEROVÁ M.: On the extension of positive continuous operatoгs. Math Slovaca 31, 1981, 251-262.

[12] WRIGHT Ј. D. M.: The measure extension pгoblem foг vector lattices. Ann. Inst. Fouгieг Grenoble 21, 1971, 65-85. | MR

[13] RIEČAN B., VOLAUF P.: On a technical lemma in lattice ordeгed groups. Acta Math. Univ. Comen., to appeaг.