1. Projective and inductive limits in locally convex cones
- Author
-
H. Saiflu and Asghar Ranjbari
- Subjects
Convex hull ,Convex analysis ,Pure mathematics ,Physics::Instrumentation and Detectors ,Applied Mathematics ,Mathematical analysis ,Convex set ,Proper convex function ,Projective limit ,Subderivative ,Barrel ,Choquet theory ,Locally convex cone ,Convex quasiuniform structure ,Inductive limit ,Convex polytope ,Convex combination ,Nuclear Experiment ,Analysis ,Mathematics - Abstract
We define and study the projective and inductive limit notions for locally convex cones. We use convex quasiuniform structure method for this purpose. Also we study the barreledness in the locally convex cones and introduce the notion upper-barreled cones and prove that the inductive limit of upper-barreled cones is upper-barreled.
- Published
- 2007
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