On locally bounded spaces and their products
Kragujevac Journal of Mathematics, Tome 27 (2005) no. 1
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.
@article{KJM_2005_27_1_a5,
author = {Ivan D. Aran{\dj}elovi\'c and Miloje Rajovi\'c},
title = {On locally bounded spaces and their products},
journal = {Kragujevac Journal of Mathematics},
pages = {55 - 61},
year = {2005},
volume = {27},
number = {1},
zbl = {1091.46500},
url = {http://geodesic.mathdoc.fr/item/KJM_2005_27_1_a5/}
}
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/