Title:
|
On measures and integrals with values in ordered groups (English) |
Author:
|
Riečan, Beloslav |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
33 |
Issue:
|
2 |
Year:
|
1983 |
Pages:
|
153-163 |
. |
Category:
|
math |
. |
MSC:
|
28B10 |
MSC:
|
28B15 |
idZBL:
|
Zbl 0519.28004 |
idMR:
|
MR699085 |
. |
Date available:
|
2009-09-25T09:29:29Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136326 |
. |
Reference:
|
[1] ALFSEN E. M.: Ordeг preserving maps and integгation processes.Math. Ann. 149, 1963, 419-461. |
Reference:
|
[2] CRISTESCU R.: Spatii liniare si operatoгi liniari.Bucuresti 1971. |
Reference:
|
[3] FREMLIN D. H.: A direct proof of the Mathes-Wright integгal extension theoгem.Ј. London. Math. Soc. 11, 1975, 276-284. MR 0380345 |
Reference:
|
[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. |
Reference:
|
[5] RIEČAN B.: O нeпpepывнoм пpoдoлжeнии мoнoтoнныx фyнкциoнaлoв нeкoтopoгo типa.Mat.-fyz. čas. 15, 1965, 116-125. |
Reference:
|
[6] RIEČAN B.: O пpoдoлжeнии oпepaтopoв c знaчeниями в линeйныx пoлyпopядoчeнныx пpocтpaнcтвax.Čas. pěst. mat. 93, 1968, 459-471. |
Reference:
|
[7] RIEČAN B.: On the lattice group valued measures.Čas. pěst. mat. 101, 1976, 343-349. MR 0499072 |
Reference:
|
[8] RIEČAN B.: A simplified proof of the Daniell integral extension theorem in ordeгed spaces.Math. Slovaca 32, 1982, 75-79. MR 0648223 |
Reference:
|
[9] VOLAUF P.: Extension and regulaгity of l-group valued measures.Math. Slovaca 27, 1977, 47-53. MR 0476989 |
Reference:
|
[10] VOLAUF P.: On extension of maps with values in ordered spaces.Math. Slovaca 30, 1980, 351-361. Zbl 0448.28007, MR 0595295 |
Reference:
|
[11] VONКOMEROVÁ M.: On the extension of positive continuous operatoгs.Math Slovaca 31, 1981, 251-262. |
Reference:
|
[12] WRIGHT Ј. D. M.: The measure extension pгoblem foг vector lattices.Ann. Inst. Fouгieг Grenoble 21, 1971, 65-85. MR 0330411 |
Reference:
|
[13] RIEČAN B., VOLAUF P.: On a technical lemma in lattice ordeгed groups.Acta Math. Univ. Comen., to appeaг. |
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