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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 209–216 (Mi smj952)  
This article is cited in 2 scientific papers (total in 2 papers)

Order properties of the space of strongly additive transition functions

A. I. Sotnikov

Tyva State University
Full-text PDF (198 kB) Citations (2)
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Abstract: The basic properties are studied of the ordered Banach algebra of strongly additive transition functions and some connections are dealt with the spaces of linear operators, vector measures, and measurable vector-valued functions. In particular, it is shown that every strongly additive transition function admits a (unique) decomposition into the sum of its countably additive and purely finitely additive components.
Keywords: measure space, strongly additive transition function, strongly countably additive transition function, strongly additive vector measure, ordered vector space.
Received: 18.02.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 166–171
DOI: https://doi.org/10.1007/s11202-005-0017-y
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: A. I. Sotnikov, “Order properties of the space of strongly additive transition functions”, Sibirsk. Mat. Zh., 46:1 (2005), 209–216; Siberian Math. J., 46:1 (2005), 166–171
Citation in format AMSBIB
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\pages 209--216
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\transl
\jour Siberian Math. J.
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\vol 46
\issue 1
\pages 166--171
\crossref{https://doi.org/10.1007/s11202-005-0017-y}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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