Literature Cited
I. Singer, Bases in Banach Spaces, Vol. 2, Springer-Verlag, Berlin-Heidelberg-New York (1981).
G. Godefroy, “Quelques proprietes des espaces de Banach,” Sem. Choquet Initiat. Anal. Univ. Pierre et Marie Curie,14, 3/1–3/8 (1974-5).
L. Schwartz, “Sur le theoreme du graphe ferme,” C. R. Acad. Sci.,263, Ser. A, No. 18, 602–605 (1966).
A. Martineau, “Sur des theoremes de S. Banach et L. Schwartz concernant le graphe ferme,” Stud. Math.,30, No. 1, 43–51 (1968).
A. N. Plichko, “On projective expansions, Markushevich bases and equivalent norms,” Mat. Zametki,34, No. 5, 719–726 (1983).
J. Distel, The Geometry of Banach Spaces [Russian translation], Selected Chapters, Vishcha Shkola, Kiev (1980).
A. N. Plichko, “Projective expansions of a unit operator and Markushevich bases,” Dokl. Akad. Nauk SSSR,263, No. 3, 543–546 (1982).
A. Grothendieck, “Sur les applications lineaires faiblement compactes d'espaces du type C(K),” Can. J. Math.,5, 129–173 (1953).
J. Bourgain, “641-1 has no equivalent strictly convex norm,” Proc. Am. Math. Soc.,78, No. 2, 225–226 (1980).
G. A. Aleksandrov, “Equivalent locally uniformly convex norms in nonseparable Banach spaces,” Doctoral Dissertation, Kharkov (1980).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 155–162, July–August, 1984.
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Plichko, A.N. Bases and complements in nonseparable Banach spaces. Sib Math J 25, 636–641 (1984). https://doi.org/10.1007/BF00968902
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DOI: https://doi.org/10.1007/BF00968902