Geodesic
Conditions for uniqueness of a projector with unit norm
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 45-49 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Suppose that in a normed linear space $B$ there exists a projector with unit norm onto a subspace $D$. A sufficient condition for this projector to be unique is the existence of a set $M\subset D^*$ which is total on $D$, each functional in which attains its norm on the unit sphere in $D$ and has a unique extension onto $B$ with preservation of norm. As corollaries to this fact, we obtain a series of sufficient conditions for uniqueness (some of which were previously known) as well as a necessary and sufficient condition for uniqueness. 
@article{MZM_1977_22_1_a4,
     author = {V. P. Odinets},
     title = {Conditions for uniqueness of a~projector with unit norm},
     journal = {Matemati\v{c}eskie zametki},
     pages = {45--49},
     year = {1977},
     volume = {22},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a4/}
}
TY  - JOUR
AU  - V. P. Odinets
TI  - Conditions for uniqueness of a projector with unit norm
JO  - Matematičeskie zametki
PY  - 1977
SP  - 45
EP  - 49
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a4/
LA  - ru
ID  - MZM_1977_22_1_a4
ER  - 
%0 Journal Article
%A V. P. Odinets
%T Conditions for uniqueness of a projector with unit norm
%J Matematičeskie zametki
%D 1977
%P 45-49
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a4/
%G ru
%F MZM_1977_22_1_a4
V. P. Odinets. Conditions for uniqueness of a projector with unit norm. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 45-49. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a4/