Geodesic
A base norm space whose cone is not 1-generating
Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 35-36

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Let E be an ordered Banach space with closed positive cone C. A base for C is a convex subset K of C with the property that every non-zero element of C has a unique representation of the form λk with λ > 0 and k ∈ K. Let S be the absolutely convex hull of K. If the Minkowski functional of S coincides with the given norm on E, then E is called a base norm space. Then K is a closed face of the unit ball of E, and S contains the open unit ball of E. Base norm spaces were first defined by Ellis [5, p. 731], although the special case of dual Banach spaces had been studied earlier by Edwards [4]. 
Yost, David. A base norm space whose cone is not 1-generating. Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 35-36. doi: 10.1017/S0017089500005395
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