Projective and inductive limits in locally convex cones |
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| Authors: | Asghar Ranjbari Husain Saiflu |
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| Institution: | Department of Pure Mathematics, Faculty of Mathematical Sciences, Tabriz University, Tabriz, Iran |
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| 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. |
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| Keywords: | Locally convex cone Convex quasiuniform structure Inductive limit Projective limit Barrel |
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