This article is cited in 5 papers

On the representation of completely linear and regular functionals in partially ordered spaces

B. Z. Vulikh, G. Ya. Lozanovskii


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.

UDC: 519.56

MSC: 46A40

Received: 20.05.1969

 English version: Mathematics of the USSR-Sbornik, 1971, 13:3, 323–343

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