Geodesic
On locally bounded spaces and their products
Kragujevac Journal of Mathematics, Tome 27 (2005), p. 55 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 46A16
Keywords: locally bounded spaces, topological vector spaces 
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Ivan D. Aranđelović; Miloje Rajović. On locally bounded spaces and their products. Kragujevac Journal of Mathematics, Tome 27 (2005), p. 55 . http://geodesic.mathdoc.fr/item/KJM_2005_27_a5/