A Note on Minkowski Functionals of a Topological Vector Space
Publications de l'Institut Mathématique, _N_S_40 (1986) no. 54, p. 107
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 :
46A05 46A99
@article{PIM_1986_N_S_40_54_a11,
author = {Kazuaki Kitahara and Lie-Ming Liu},
title = {A {Note} on {Minkowski} {Functionals} of a {Topological} {Vector} {Space}},
journal = {Publications de l'Institut Math\'ematique},
pages = {107 },
year = {1986},
volume = {_N_S_40},
number = {54},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_40_54_a11/}
}
TY - JOUR AU - Kazuaki Kitahara AU - Lie-Ming Liu TI - A Note on Minkowski Functionals of a Topological Vector Space JO - Publications de l'Institut Mathématique PY - 1986 SP - 107 VL - _N_S_40 IS - 54 UR - http://geodesic.mathdoc.fr/item/PIM_1986_N_S_40_54_a11/ LA - en ID - PIM_1986_N_S_40_54_a11 ER -
Kazuaki Kitahara; Lie-Ming Liu. A Note on Minkowski Functionals of a Topological Vector Space. Publications de l'Institut Mathématique, _N_S_40 (1986) no. 54, p. 107 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_40_54_a11/