PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 40(54), pp. 107--112 (1986)
A NOTE ON MINKOWSKI FUNCTIONALS OF A TOPOLOGICAL VECTOR SPACE
Kazuaki Kitahara and Lie-Ming LiuTHe Graduate School of Science and Technology, Kobe University, Japan and Mathematical Department of Nankai University, China
Abstract: We consider under what locally convex spaces the lower semi-continuous semi-norms coincide with the semi-norms which are continuous relative to the strong topology Furthermore in a topological vector space we study relations between the lower semi-continuous $(F)$-semi-norms and the $(F)$-semi-norms which are continuous relative to the strong topology in the sense of topological vector spaces.
Classification (MSC2000): 46A05; 46A99
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