| Title:
|
On the lattice group valued submeasures (English) |
| Author:
|
Volauf, Peter |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
407-411 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| MSC:
|
28A12 |
| MSC:
|
28B10 |
| MSC:
|
28B15 |
| idZBL:
|
Zbl 0760.28008 |
| idMR:
|
MR1120971 |
| . |
| Date available:
|
2009-09-25T10:27:23Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129731 |
| . |
| Reference:
|
[1] BIRKNOFF G.: Lattice Theory.Зrd ed. Providence 1967. |
| Reference:
|
[2] LUXEMBURG W. A., ZAANEN A. C.: Riesz Spaces 1.North Holland, Amsterdam 1971. |
| Reference:
|
[3] RIEČAN B.: On measures and integrals with values in ordered groups.Math. Slovaca 33, 1983, No. 2, 153-163. Zbl 0519.28004, MR 0699085 |
| Reference:
|
[4] RIEČANOVÁ Z.: On consequences of Banach-Kuratowski theorem for Stone algebra valued measures.Math. Slovaca 39, 1989, No. 1, 91-97. MR 1016335 |
| Reference:
|
[5] RIEČAN B., VOLAUF P.: On a technical lemma in lattice ordered groups.Acta Math. Univ. Comenianae XLIV-XLV, 1984, 31-35. Zbl 0558.06019, MR 0775002 |
| Reference:
|
[6] STONE M. H.: Boundedness properties in function lattices.Canadian J. Math., 1 (1949), 176-186. Zbl 0032.16901, MR 0029091 |
| Reference:
|
[7] VOLAUF P.: On extension of maps with values in ordered spaces.Math. Slovaca 30, 1980, No. 4, 351-361. Zbl 0448.28007, MR 0595295 |
| Reference:
|
[8] VALICH B. Z.: Introduction to the theory of partially ordered spaces.Wolters-Noordhoff, 1967. MR 0224522 |
| Reference:
|
[9] WRIGHT J. D. M.: The measure extension problem for vector lattices.Ann. Inst. Fourier, 21, Fasc. 4, Grenoble, 1971, 65-85. Zbl 0215.48101, MR 0330411 |
| Reference:
|
[10] WRIGHT J. D. M.: An algebraic characterization of vector lattices with the Borel regularity property.J. London Math. Soc. (2), 7 (1973), 277-285. Zbl 0266.46036, MR 0333116 |
| Reference:
|
[11] WRIGHT J. D. M.: An extension theorem.J. London Math. Soc. (2), 7 (1973), 531-539. MR 0344414 |
| . |
