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Literature Cited
L. V. Gladun and A. N. Plichko, “Norming and strongly norming subspaces of a conjugate Banach space,” Ukr. Mat. Zh.,36, No. 4, 427–433 (1984).
F. S. Vakher and A. N. Plichko, “The bounded approximation property and linear finitedimensional regularizability,” Ukr. Mat. Zh.,33, No. 2, 167–171 (1981).
F. S. Vakher, “The bounded approximation property in separable Banach spaces,” Dokl. Akad. Nauk SSSR,255, No. 6, 1301–1306 (1980).
V. A. Vinkurov, E. N. Domanskii, L. D. Menikhes, and A. N. Plichko, “Certain problems of linear regularizability,” Dokl. Akad. Nauk SSSR,270, No. 1, 31–34 (1983).
I. Singer, Bases in Banach Spaces. I, Springer-Verlag, Berlin-Heidelberg-New York (1970).
V. A. Vinokurov, L. V. Gladun, and A. N. Plichko, “Norming subspaces of a conjugate space and the regularizability of inverse operators,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 3–10 (1985).
J. Lindenstrauss and P. H. Rosenthal, “The ℒp,” Israel J. Math.,7, No. 4, 325–349 (1969).
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. 1. Sequence Spaces, Springer-Verlag, Berlin-Heidelberg-New York (1977).
K. J. Lindberg, “On subspaces of Orlicz sequence spaces,” Stud. Math.,45, 119–146 (1973).
J. Bourgain, New Classes of ℒp, Lecture Notes in Math., No. 889, Springer-Verlag, New York (1981).
L. E. Dor and T. Starbird, “Projections of Lp onto subspaces spanned by independent random variables,” Compos. Math.,39, No. 2, 141–175 (1979).
J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, Lecture Notes in Math., No. 338, Springer-Verlag, New York (1973).
V. F. Gaposhkin, “The existence of unconditional bases in Orlicz spaces,” Funkts. Anal. Prilozhen.,1, No. 4, 26–32 (1967).
Additional information
Lvov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 55–59, March–April, 1987.
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Gladun, L.V. Banach spaces whose duals contain norming nonbasic subspaces. Sib Math J 28, 220–223 (1987). https://doi.org/10.1007/BF00970866
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DOI: https://doi.org/10.1007/BF00970866