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Article

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
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Category: math
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MSC: 28B10
MSC: 28B15
idZBL: Zbl 0519.28004
idMR: MR699085
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Date available: 2009-09-25T09:29:29Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136326
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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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