Extension theorems for linear lattices with positive algebraic basis

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1975 English Publisher:Springer Science and Business Media LLCJournal:Periodica Mathematica Hungarica, volume 6, pages 295-307 (issn: 0031-5303, eissn: 1588-2829,

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Authors: Schmidt, Garfield C.;

doi: 10.1007/bf02017926

Extension theorems for linear lattices with positive algebraic basis

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Abstract

An ordered linear spaceV with positive wedgeK is said to satisfy extension property (E1) if for every subspaceL0 ofV such thatL0 ∩K is reproducing inL0, and every monotone linear functionalf0 defined onL0,f0 has a monotone linear extension to all ofV.

Related Organizations

University of Massachusetts Lowell
United States

Keywords

Ordered abelian groups, Riesz groups, ordered linear spaces, Ordered topological linear spaces, vector lattices

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