Conditional Analysis on R d

@article{Cheridito2014ConditionalAO,
  title={Conditional Analysis on R d},
  author={Patrick Cheridito and Michael Kupper and Nicolas Vogelpoth},
  journal={arXiv: Functional Analysis},
  year={2014},
  pages={179-211}
}
This paper provides versions of classical results from linear algebra, real analysis and convex analysis in a free module of finite rank over the ring L 0 of measurable functions on a �-finite mea- sure space. We study the question when a submodule is finitely generated and introduce the more general concepts of L 0 -affine sets,L 0 -convex sets, L 0 -convex cones, L 0 -hyperplanes, L 0 -half-spaces and L 0 -convex polyhedral sets. We investigate orthogonal complements, orthogonal… Expand
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