Vol. 43, No. 2, 1972

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On the completion of locally solid vector lattices

David Fremlin

Vol. 43 (1972), No. 2, 341–347
Abstract

Let E be a Riesz space ( = vector lattice), with a locally solid Hausdorff linear space topology. Then its completion also has a Riesz space structure. In this paper it is shown how a pair of important properties which may be possessed by E are inherited by its completion.

Mathematical Subject Classification 2000
Primary: 46A40
Milestones
Received: 1 April 1971
Published: 1 November 1972
Authors
David Fremlin