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Article

Title: Extension of measure-like set functions (English)
Author: Šipoš, Ján
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 108
Issue: 2
Year: 1983
Pages: 113-121
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Category: math
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MSC: 28B10
idZBL: Zbl 0532.28010
idMR: MR704058
DOI: 10.21136/CPM.1983.108413
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Date available: 2009-09-23T09:19:51Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/108413
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Reference: [1] V. N. Alexiuk F. D. Beznosikov: Extension of continuous outer measure on a Boolean algebra (Russian).Izv. VUZ 4, 119 (1972), 3-9.
Reference: [2] V. N. Alexiuk: On weak compactness of quasi measures.On relation betwen metric and measure (Russian). Sib. mat. j., XI No 4 (1970), 723-739.
Reference: [3] L. Drewnowski: Topological rings of sets, continuous set functions, integration I, II.Bull. Acad. Pol. Sci. 20 (1972), 269-286. MR 0306432
Reference: [4] E. E. Floyd: Boolean algebras with pathological order topologies.Pacific J. Math. 5 (1955), 687-689. Zbl 0065.26603, MR 0073563
Reference: [5] G. Jameson: Ordered Linear Spaces.Berlin 1970. Zbl 0196.13401, MR 0438077
Reference: [6] W. A. Luxemburg A. C. Zaanen: Riesz Spaces 1.Amsterdam 1971.
Reference: [7] R. Potocký: On the extension of measure.Math. Slovaca 27 (1977), No. 4, 359-363. MR 0536838
Reference: [8] B. Riečan: An extension of the Daniell integration scheme.Mat. Čas. 25 (1975), No. 3, 211-219. MR 0396889
Reference: [9] B. Riečan: On the lattice group valued measures.Čas. pěst. mat. 101 (1976), 343-349. MR 0499072
Reference: [10] J. Šipoš: Integration in partially ordered linear spaces.Math. Slov. 31 (1981), No. 1. 39-51. MR 0619506
Reference: [11] P. Volauf: Extension and regularity of l-group valued measures.Math. Slov. 27 (1977), No. 1, 47-53. MR 0476989
Reference: [12] J. D. M. Wright: The measure extension problem for vector lattices.Ann. Inst. "Fourier (Grenoble) 21 Fasc. 4 (1971), 65-85. Zbl 0215.48101, MR 0330411
Reference: [13] P. Horák: .A personal communication.
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