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Extensions of positive projections |
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| Authors: | Mohamed Ali Toumi |
| Affiliation: | (1) Département de Mathématiques, Faculté des Sciences de Bizerte, 7021 Zarzouna Bizerte, Tunisia |
| Abstract: | The main purpose of this paper is the following Theorem: letE be a Dedekind complete Riesz space (vector lattice), letA be a vector subspace of it which majorizesE and letx 0 be an element ofE−A. IfT 0 is a positive projection onA, then there existsy 0∈E such thatT 0 can be extended to a positive projection onA+ℝx 0+ℝy 0. |
| Keywords: | KeywordHeading" >1991 Mathematics Subject Classification Primary 06A65 06A70 46A40 |
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