• Corpus ID: 118206966

Ordered vector spaces and linear operators

```@inproceedings{Cristescu1976OrderedVS,
title={Ordered vector spaces and linear operators},
author={Romulus Cristescu and Silviu Teleman and John C. Hammel},
year={1976}
}```
• Published 1976
• Mathematics
An ordered vector space is just that-a set with both a (real) vector space structure and an order relation which satisfy desirable compatibility conditions. Specialization by requiring that the least upper bound (and hence the greatest lower bound) of any two elements of the space also be in the space yields a more useful object, the vector lattice (also known as a Riesz space). Most of the common spaces encountered in analysis are of this type: the (real) continuous functions on a topological…
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