Valuations: from orthogonal additivity to orthosymmetry. (English) Zbl 1465.46005
Authors’ abstract: We prove that polynomial valuations on vector lattices correspond to orthosymmetric multilinear maps. As a consequence we obtain a concise proof of the correspondence between orthosymmetry and orthogonal additivity.
Reviewer: Mohamed Ali Toumi (Bizerte)
MSC:
| 46A40 | Ordered topological linear spaces, vector lattices |
| 52B45 | Dissections and valuations (Hilbert’s third problem, etc.) |
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