Literature Cited
L. Ya. Savel'ev, “Order topologies in continuous measures,” Sibirsk, Matem. Zh.,6, No. 6, 1357–1364 (1965).
N. Bourbaki, Topological Vector Spaces [Russian translation], Moscow (1959).
N. Bourbaki, General Topology (Basic Structures) [Russian translation], Moscow (1958).
N. Dunford and J. T. Schwartz, Linear Operators, Interscience, New York (1958).
G. Samboan, “Vectorial measures,” Rev. Math. Pures et Appl.,7, No. 3 (1962).
S. Găină, “Extension of vector measures,” Rev. Math. Pures et Appl.,8, No. 1 (1963).
L. Ya. Savel'ev, “On denumerably additive vector measures,” Dokl. Akad. Nauk SSSR,167, No. 4, 758–759 (1966).
N. Bourbaki, General Topology (Numbers and Their Related Groups and Spaces) (Russian translation], Moscow (1959).
M. M. Day, Normed Linear Spaces, Springer, Berlin (1958).
L. Ya. Savel'ev, “Extension of measures with respect to continuity,” Sibirsk. Matem. Zh.,5, No. 3, 639–650 (1964).
N. Bourbaki, Theory of Sets [Russian translation], Moscow (1965).
N. Bourbaki, Algebra (Algebraic Structures, Linear and Semilinear Algebra) [Russian translation], Moscow (1962).
P. Halmos, Measure Theory, Van Nostrand, New York (1950).
B. Vulikh, Introduction to the Theory of Semi-Ordered Spaces [in Russian], Moscow (1961).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 4, pp. 937–950, July–August, 1968.
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Savel'ev, L.Y. Conditions for the extendibility of vector measures. Soviet Mathematical Journal 9, 697–707 (1968). https://doi.org/10.1007/BF02199107
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DOI: https://doi.org/10.1007/BF02199107