A Note on Minkowski Functionals of a Topological Vector Space
Publications de l'Institut Mathématique, _N_S_40 (1986) no. 54, p. 107 .

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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 },
     publisher = {mathdoc},
     volume = {_N_S_40},
     number = {54},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_40_54_a11/}
}
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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/