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References
T. Alvarez, M. Gonzalez andV. M. Onieva, Totally incomparable Banach spaces and three-space Banach space ideals. Math. Nachr.131, 83–88 (1987).
S.Banach, Théorie des opérations linéaires. Monograf. Mat. Warszawa 1932.
E. Behrends, S. Dierolf andP. Harmand, On a problem of Bellenot and Dubinsky. Math. Ann.275, 337–339 (1986).
S. F. Bellenot, TheJ-sum of Banach spaces, J. Funct. Anal.48, 95–106 (1982).
W. J. Davis andJ. Lindenstrauss, On total nonnorming subspaces. Proc. Amer. Math. Soc.31, 109–111 (1972).
S. Dierolf andV. B. Moscatelli, A note on quojections, Funct. Approx. Comment. Math.17, 131–138 (1987).
J. Dixmier, Sur un théorème de Banach. Duke Math. J.15, 1057–1071 (1948).
V. I. Gurarii, On the openings and the inclinations of subspaces of a Banach space (Russian). Teor. Funktsii Funktsional. Anal. i Prilozhen.l, 194–204 (1965).
W. B. Johnson andH. P. Rosenthal, Onw *-basic sequences and their applications to the study of Banach spaces. Studia Math.43, 77–92 (1972).
J.Lindenstrauss and L.Tzafriri, Classical Banach spaces I. Berlin-Heidelberg-New York 1977.
S. Mazurkiewicz, Sur la derivée faible d'un ensemble de fonctionnelles linéaires. Studia Math.2, 68–71 (1930).
G.Metafune and V. B.Moscatelli, Quojections and prequojections. In: Advances in the Theory of Fréchet Spaces, T. Terzioglu, ed. NATO Adv. Inst. Ser. C: Math. Phys. Sci.287, 235–254 (1989).
V. B. Moscatelli, On strongly non-norming subspaces. Note Mat.7, 311–314 (1987).
V. B. Moscatelli, Strongly nonnorming subspaces and prequojections. Studia Math.95, 249–254 (1990).
M. I. Ostrovskii, On the problem of regularizability of superpositions of inverse linear operators (Russian). Teor. Funktsii Funktsional. Anal. i Prilozhen.55, 96–100 (1991).
M. I. Ostrovskii, On total nonnorming subspaces in a dual Banach space (Russian). Teor. Funktsii Funktsional. Anal. i Prilozhen.53, 119–123 (1990).
M. I. Ostrovskii,w *-derived sets of transfinite order of subspaces of dual Banach spaces (Russian). Dokl. Akad. Nauk Ukrain. SSR, Ser. A.10, 9–12 (1987).
M. I.Ostrovskii, Subspaces containing biorthogonal functionals of bases of different types (Russian). Teor. Funktsii Funktsional. Anal. i Prilozhen.57 (1992).
Y. I. Petunin, Conjugate Banach spaces containing subspaces of zero characteristic (Russian). Dokl. Akad. Nauk SSSR154, 527–529 (1964). (Engl. Transl.: Soviet Math. Dokl.5, 131–133 (1964).
Y. I. Petunin andA. N. Plichko, The theory of characteristic of subspaces and its applications (Russian). Vyshcha Shkola, Kiev 1980.
H. P. Rosenthal, On totally incomparable Banach spaces. J. Funct. Anal.4, 167–175 (1969).
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Ostrovskii, M.I. Characterization of Banach spaces which are completions with respect to total nonnorming subspaces. Arch. Math 60, 349–358 (1993). https://doi.org/10.1007/BF01207191
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DOI: https://doi.org/10.1007/BF01207191