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.
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Toumi, M.A. Extensions of positive projections. Rend. Circ. Mat. Palermo 50, 499–508 (2001). https://doi.org/10.1007/BF02844428
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DOI: https://doi.org/10.1007/BF02844428