Geodesic
On $(1+\varepsilon_n)$-bounded $M$-bases
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (1999), pp. 24-27 
R. V. Vershinin. On $(1+\varepsilon_n)$-bounded $M$-bases. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (1999), pp. 24-27. http://geodesic.mathdoc.fr/item/IVM_1999_4_a3/
@article{IVM_1999_4_a3,
     author = {R. V. Vershinin},
     title = {On $(1+\varepsilon_n)$-bounded $M$-bases},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {24--27},
     year = {1999},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_1999_4_a3/}
}
TY  - JOUR
AU  - R. V. Vershinin
TI  - On $(1+\varepsilon_n)$-bounded $M$-bases
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 1999
SP  - 24
EP  - 27
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IVM_1999_4_a3/
LA  - ru
ID  - IVM_1999_4_a3
ER  - 
%0 Journal Article
%A R. V. Vershinin
%T On $(1+\varepsilon_n)$-bounded $M$-bases
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 1999
%P 24-27
%N 4
%U http://geodesic.mathdoc.fr/item/IVM_1999_4_a3/
%G ru
%F IVM_1999_4_a3

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

[1] Singer I., Bases in Banach spaces, II, Springer-Verlag, Berlin–Heidelberg–New York, 1981, 880 pp. | MR | Zbl

[2] Davis W. J., Johnson W. B., “On the existence of fundamental and total bounded biorthogonal systems in Banach spaces”, Studia math., 45:2 (1973), 173–179 | MR | Zbl

[3] Ovsepian R. I., Pelczynski A., “The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$”, Studia math., 54:2 (1975), 149–159 | MR | Zbl

[4] Pelczynski A., “All separable Banach spaces admit for every $\varepsilon>0$ fundamental total and bounded by $1+\varepsilon$ biorthogonal sequences”, Studia math., 55:3 (1976), 295–304 | MR | Zbl

[5] Plichko A. N., “Suschestvovanie polnoi $\varepsilon$-ortonormalnoi sistemy v separabelnom normirovannom prostranstve”, DAN USSR, 1976, no. 1, 22–23

[6] Dvoretsky A., “Some results on convex bodies and Banach spaces”, Proc. Internat. Sympos. Linear Spaces, Jerusalem, 1961, 123–160 | MR

[7] Milman V. D., “Geometricheskaya teoriya prostranstv Banakha. Ch. 1: Teoriya bazisnykh i minimalnykh sistem”, UMN, 25:3 (1970), 113–174 | MR