Abstract:
In the first two sections the representation of completely linear functionals in
K-spaces and the connection between completely linear functionals and measures on bases in a K-space is studied. In § 3 a realization of spaces of regular functionals is established.
Bibliography: 15 titles.
Citation:
B. Z. Vulikh, G. Ya. Lozanovskii, “On the representation of completely linear and regular functionals in partially ordered spaces”, Math. USSR-Sb., 13:3 (1971), 323–343
\Bibitem{VulLoz71}
\by B.~Z.~Vulikh, G.~Ya.~Lozanovskii
\paper On the representation of completely linear and regular functionals in partially ordered spaces
\jour Math. USSR-Sb.
\yr 1971
\vol 13
\issue 3
\pages 323--343
\mathnet{http://mi.mathnet.ru/eng/sm3076}
\crossref{https://doi.org/10.1070/SM1971v013n03ABEH003686}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276727}
\zmath{https://zbmath.org/?q=an:0208.16605|0238.47024}
Linking options:
https://www.mathnet.ru/eng/sm3076
https://doi.org/10.1070/SM1971v013n03ABEH003686
https://www.mathnet.ru/eng/sm/v126/i3/p331
This publication is cited in the following 7 articles:
A. G. Kusraev, S. S. Kutateladze, “Boolean-valued analysis of order-bounded operators”, J. Math. Sci., 218:5 (2016), 609–635
Fernando Cobos, Pedro Fernández-Martínez, Antón Martínez, Yves Raynaud, “On duality between K- and J-spaces”, Proc Edin Math Soc, 42:1 (1999), 43
Y. A. Abramovich, C. D. Aliprantis, W. R. Zame, “A representation theorem for Riesz spaces and its applications to economics”, Econ Theory, 5:3 (1995), 527
Wolfgang Filter, “Representations of Archimedean Riesz Spaces A Survey”, Rocky Mountain J. Math., 24:3 (1994)
A. I. Veksler, D. A. Vladimirov, M. K. Gavurin, L. V. Kantorovich, S. M. Lozinskii, A. G. Pinsker, D. K. Faddeev, “Boris Zakharovich Vulikh (obituary)”, Russian Math. Surveys, 34:4 (1979), 145–150
A. V. Bukhvalov, A. I. Veksler, D. A. Vladimirov, B. Z. Vulikh, L. V. Kantorovich, S. M. Lozinskii, E. M. Semenov, “Grigorii Yakovlevich Lozanovskii (obituary)”, Russian Math. Surveys, 33:1 (1978), 183–188
A. V. Bukhvalov, “On the duality of functors generated by spaces of vector-valued functions”, Math. USSR-Izv., 9:6 (1975), 1213–1240
Citation in format AMSBIB
Contact us: