EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 40(54), pp. 107--112 (1986)

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A NOTE ON MINKOWSKI FUNCTIONALS OF A TOPOLOGICAL VECTOR SPACE

Kazuaki Kitahara and Lie-Ming Liu

THe 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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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 22 Aug 2002.

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