Riesz spaces

Nicolas Bourbaki

Chapter Chapter II in Elements of Mathematics, 2004, pp 11-30 from Springer

Abstract: Abstract Recall that, on a set E, a vector space structure over the field R and an order structure are said to be compatible if they satisfy the following two axioms: (OVSI) The relation x ≤ y implies x + z ≤ y + z for all z ∈ E. (OVSII) The relation x ≥ 0 implies λx ≥ 0 for every scalar λ > 0.

Date: 2004
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DOI: 10.1007/978-3-642-59312-3_3

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