Geodesic
Characterizability of pairs of complex normed spaces
Sbornik. Mathematics, Tome 43 (1982) no. 3, pp. 395-402 
R. B. Feizullaev. Characterizability of pairs of complex normed spaces. Sbornik. Mathematics, Tome 43 (1982) no. 3, pp. 395-402. http://geodesic.mathdoc.fr/item/SM_1982_43_3_a6/
@article{SM_1982_43_3_a6,
     author = {R. B. Feizullaev},
     title = {Characterizability of pairs of complex normed spaces},
     journal = {Sbornik. Mathematics},
     pages = {395--402},
     year = {1982},
     volume = {43},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1982_43_3_a6/}
}
TY  - JOUR
AU  - R. B. Feizullaev
TI  - Characterizability of pairs of complex normed spaces
JO  - Sbornik. Mathematics
PY  - 1982
SP  - 395
EP  - 402
VL  - 43
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_1982_43_3_a6/
LA  - en
ID  - SM_1982_43_3_a6
ER  - 
%0 Journal Article
%A R. B. Feizullaev
%T Characterizability of pairs of complex normed spaces
%J Sbornik. Mathematics
%D 1982
%P 395-402
%V 43
%N 3
%U http://geodesic.mathdoc.fr/item/SM_1982_43_3_a6/
%G en
%F SM_1982_43_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the algebraic and topological structures of an arbitrary pair of complex normed spaces of dimension greater than 1 are determined by the topological ternary semigroup of continuous linear mappings in the class of complex normed spaces. It is established that the spaces under consideration are also reproduced by the topological ternary semigroup of one-dimensional continuous linear mappings. Bibliography: 5 titles.

[1] Gluskin L. M., “K teoreme Sushkevicha–Rissa. II”, Vestn. Khark. un-ta, ser. mekhan.-matem., 36:67 (1971), 14–36 | MR | Zbl

[2] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972 | MR

[3] Dedonne Zh., Osnovy sovremennogo analiza, Mir, M., 1964

[4] Mustafaev L. G., Feizullaev R. B., “Polugrudy i polugruppy lineinykh nepreryvnykh otobrazhenii”, UMN, 34:6(210) (1979), 170–174 | MR | Zbl

[5] Mikhalev A. V., “Ob izomorfizme kolets nepreryvnykh endomorfizmov”, Sib. matem. zh., IV:1 (1963), 177–186 | MR