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Sbornik: Mathematics, 2001, Volume 192, Issue 7, Pages 969–978
DOI: https://doi.org/10.1070/SM2001v192n07ABEH000578 (Mi sm578) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Darboux property of a non-additive set function

V. M. Klimkin, M. G. Svistula

Samara State University
English version PDF (149 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM2001v192n07ABEH000578
Abstract: As is known, the range of a finite positive non-atomic measure on a $\sigma$-algebra is a closed interval. In the present paper it is proved that this property holds also in a broad class of non-additive set functions on an $F$-algebra if the non-atomicity is replaced by the Saks property.
Received: 11.01.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 7, Pages 41–50
DOI: https://doi.org/10.4213/sm578
Bibliographic databases:
UDC: 519.53
MSC: 28B05
Language: English
Original paper language: Russian
Citation: V. M. Klimkin, M. G. Svistula, “Darboux property of a non-additive set function”, Mat. Sb., 192:7 (2001), 41–50; Sb. Math., 192:7 (2001), 969–978
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:502
    Russian version PDF:241
    English version PDF:36
    References:60
    First page:1
     
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