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arXiv 1209.0956math.PRmath.FA
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Convention-E-凸集与E-拟凸映射

Conditionally Evenly Convex Sets and Evenly Quasi-Convex Maps

Marco Frittelli, Marco Maggis

摘要:

定义拓扑向量空间中的E-凸集为一族开半空间的交。我们在条件框架中引入了这个概念的推广,并提供了双极定理的推广版本。然后应用这一概念得到条件均匀拟凸映射的对偶表示。

英文摘要:

Evenly convex sets in a topological vector space are defined as the intersection of a family of open half spaces. We introduce a generalization of this concept in the conditional framework and provide a generalized version of the bipolar theorem. This notion is then applied to obtain the dual representation of conditionally evenly quasi-convex maps.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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