Compact and precompact sets in asymmetric locally convex spaces |
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Authors: | S Cobza? |
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Institution: | Babe?-Bolyai University, Faculty of Mathematics and Computer Science, 400 084 Cluj-Napoca, Romania |
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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]. |
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Keywords: | primary 46A03 secondary 46A50 46B07 54E15 54E25 54E99 |
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