Geodesic
On locally bounded spaces and their products
Kragujevac Journal of Mathematics, Tome 27 (2005) no. 1

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ON LOCALLY BOUNDED SPACES AND THEIR PRODUCTSIvan D. Arandjelovic1 and Miloje Rajovic21Faculty of Mehanical Engineering,Kraljice Marije 16, 11000 Beograd, Serbia and Montenegro(e-mail: iva@alfa.mas.bg.ac.yu)2Faculty of Mehanical Engineering, Dositejeva 19, 36000 Kraljevo, Serbia and Montenegro (Received February 16, 2005) Abstract. In this paper we present a new characterization of locally bounded topological vector spaces, which generalize earlier characterizations of Aoki [1] and Rolewicz [3]. Further we shall prove that Topological vector space is F-paranormable (class introduced by S. Kasahara in 1973) if and only if it is a product of locally bounded spaces. 
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Ivan D. Aranđelović; Miloje Rajović. On locally bounded spaces and their products. Kragujevac Journal of Mathematics, Tome 27 (2005) no. 1. http://geodesic.mathdoc.fr/item/KJM_2005_27_1_a5/