Kragujevac J. Math. 27 - 6 Kragujevac J. Math. 27 (2005) 55-61.

ON LOCALLY BOUNDED SPACES AND THEIR PRODUCTS

Ivan D. Arandjelovic1 and Miloje Rajovic2

1Faculty 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.