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Compact and precompact sets in asymmetric locally convex spaces
Authors:S Cobza?
Institution:Babe?-Bolyai University, Faculty of Mathematics and Computer Science, 400 084 Cluj-Napoca, Romania
Abstract:The aim of the present paper is to study precompactness and compactness within the framework of asymmetric locally convex spaces, defined and studied by the author in S. Cobza?, Asymmetric locally convex spaces, Int. J. Math. Math. Sci. 2005 (16) (2005) 2585-2608]. The obtained results extend some results on compactness in asymmetric normed spaces proved by L.M. García-Raffi, Compactness and finite dimension in asymmetric normed linear spaces, Topology Appl. 153 (2005) 844-853], and C. Alegre, I. Ferrando, L.M. García-Raffi, E.A. Sánchez-Pérez, Compactness in asymmetric normed spaces, Topology Appl. 155 (6) (2008) 527-539].
Keywords:primary  46A03  secondary  46A50  46B07  54E15  54E25  54E99
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