Quasi-norm spaces
HTML articles powered by AMS MathViewer
- by Richard Metzler and Hidegoro Nakano PDF
- Trans. Amer. Math. Soc. 123 (1966), 1-31 Request permission
References
- N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1189, Hermann & Cie, Paris, 1953 (French). MR 0054161 A. Kolmogoroff, Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes, Studia Math. 5 (1934), 29-33.
- Hidegorô Nakano, Topology of linear topological spaces, Maruzen Co. Ltd., Tokyo, 1951. MR 0046560
- Hidegorô Nakano, Über die Stetigkeit des normierten teilweise geordneten Moduls, Proc. Imp. Acad. Tokyo 19 (1943), 10–11 (German). MR 14177
- Hidegorô Nakano, Modulared Semi-Ordered Linear Spaces, Maruzen Co. Ltd., Tokyo, 1950. MR 0038565
- Hidegorô Nakano, Linear topologies on semi-ordered linear spaces, J. Fac. Sci. Hokkaido Univ. Ser. I. 12 (1953), 87–104. MR 0056851
- John von Neumann, On complete topological spaces, Trans. Amer. Math. Soc. 37 (1935), no. 1, 1–20. MR 1501776, DOI 10.1090/S0002-9947-1935-1501776-7
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 123 (1966), 1-31
- MSC: Primary 46.06; Secondary 46.01
- DOI: https://doi.org/10.1090/S0002-9947-1966-0203437-3
- MathSciNet review: 0203437