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An Elementary Example of an Order Bound Dual Space that is not Directed
Authors:Otto?Van?Gaans  mailto:o.w.vangaans@its.tudelft.nl"   title="  o.w.vangaans@its.tudelft.nl"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Applied Mathematical Analysis, Faculty ITS, Delft University of Technology, P.O. Box 5031, 2600, GA, Delft, The Netherlands
Abstract:
This paper presents an elementary example of an order bounded linear functional on a directed partially ordered vector space that is not equal to the difference of two positive linear functionals.
Keywords:generating cone  order bound dual  partially ordered vector space  positive functional  regular functional
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