Complete biorthogonal systems in Banach spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 1, pp. 1-7.

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B. V. Godun. Complete biorthogonal systems in Banach spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/FAA_1983_17_1_a0/

[1] Lindenstrauss J., Tzafriri L., Classical Banach spaces. I. Sequence spaces, Springer-Verlag, Berlin–New York, 1977 | MR

[2] James R.C., “Bases and Reflexivity of Banach spaces”, Math. Ann., 52:2 (1950), 518–527 | DOI | MR | Zbl

[3] Rosenthal H.P., “A characterizations of Banach spaces containing $l_1$”, Proc. Nat. Acad. Sci. USA, 71 (1974), 2411–2413 | DOI | MR | Zbl

[4] Rosenthal H.P., “Some resent descoveries in the isomorphic theory of Banach spaces”, Bull. Amer. Math. Soc., 84 (1978), 804–821 | DOI | MR

[5] Singer I., “On biorthogonal systems and total sequences of functionals. II”, Math. Ann., 201 (1973), 1–8 | DOI | MR | Zbl

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

[7] Grothendieck A., “Sur les applications linearies faiblement compactes des espaces du type $C(K)$”, Canad. J. Math., 6 (1969), 129–173 | MR

[8] Haydon R., “On dual $L_1$-space and injective bidual Banach spaces”, Israel J. Math., 31:2 (1978), 142–152 | DOI | MR | Zbl

[9] Rosenthal H.P., “On quasi-complemented subspaces, with an appendix of compatheness of operators from $L^p(\mu)t_0L^r(\nu)$”, J. Funct. Anal., 4 (1969), 176–214 | DOI | MR | Zbl

[10] Godun B.V., Kadets M.I., “O prostranstvakh Banakha bez polnykh minimalnykh sistem”, Funkts. analiz, 14:4 (1980), 67–68 | MR | Zbl

[11] Johnson W.B., Rosenthal H.P., “On $w^*$-basic sequences and their applications to the study of Banach spaces”, Studia Math., 43 (1972), 77–92 | DOI | MR

[12] Singer I., Bases in Banach spaces. I, Springer-Verlag, Berlin–New York, 1970 | MR

[13] Gokhberg I.Ts., Markus A.S., “Ob ustoichivosti bazisov banakhovykh i gilbertovykh prostranstv”, Izv. AN Mold. SSR, 5 (1962), 17–35 | MR