Vol. 60, No. 1, 1975

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Positive linear functions, integration, and Choquet’s theorem

Richard C. Metzler

Vol. 60 (1975), No. 1, 277–296
Abstract

The study of extensions of positive linear functions leads, in this paper, to a generalized and unified treatment of the Riemann, Lebesgue, Daniell, and Bourbaki integrals and of the Choquet-Bishop-deLeeuw integral representation theorem.

Mathematical Subject Classification
Primary: 28A30, 28A30
Milestones
Received: 1 February 1974
Published: 1 September 1975
Authors
Richard C. Metzler