Geodesic
Bounded subsets of non-Archimedean Banach spaces and of their rings of continuous operators
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 39-43 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The purpose of the present paper is to prove the mutual equivalence of some boundedness properties of subsets of non-archimedean (n. a.) Banach spaces. In particular, the boundedness by norm is equivalent to the weak boundedness by functional. We consider some properties of bounded subsets of n. a. vector spaces and their operator rings. For example, we give an algebraic characterization of bounded subsets in the operator rings of n. a. vector spaces and, as a corollary, we obtain an axiomatic description of the operator norm. 
@article{VMUMM_1982_5_a10,
     author = {L. I. Mikhaleva},
     title = {Bounded subsets of {non-Archimedean} {Banach} spaces and of their rings of continuous operators},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {39--43},
     year = {1982},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a10/}
}
TY  - JOUR
AU  - L. I. Mikhaleva
TI  - Bounded subsets of non-Archimedean Banach spaces and of their rings of continuous operators
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 1982
SP  - 39
EP  - 43
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a10/
LA  - ru
ID  - VMUMM_1982_5_a10
ER  - 
%0 Journal Article
%A L. I. Mikhaleva
%T Bounded subsets of non-Archimedean Banach spaces and of their rings of continuous operators
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 39-43
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a10/
%G ru
%F VMUMM_1982_5_a10
L. I. Mikhaleva. Bounded subsets of non-Archimedean Banach spaces and of their rings of continuous operators. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 39-43. http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a10/