Literature cited
Yu. I. Petunin and A. N. Plichko, The Theory of Characteristics of Subspaces and Its Applications [in Russian], Vishcha Shkola, Kiev (1980).
B. V. Godun and M. I. Kadets, “The set of values of the characteristic of subspaces of a conjugate space,” in: The Theory of Functions, Functional Analysis and Its Applications [in Russian], Vol. 29, Kharkov (1978), pp. 25–31.
B. V. Godun, “Normalizing subspaces in certain conjugate Banach spaces,” Mat. Zametki,29, No. 4, 549–555 (1981).
B. V. Godun, “Unconditional bases and spanning bases of sequences,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 10, 69–72 (1980).
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966).
W. B. Johnson, H. P. Rosenthal, and M. Zippin, “On bases, finite-dimensional decompositions and weaker structures in Banach spaces,” Isr. Math. J.,9, 488–506 (1971).
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
V. A. Vinokurov and A. N. Plichko, “The regularizability of linear inverse problems by linear methods,” Dokl. Akad. Nauk SSSR,229, No. 5, 1037–1040 (1976).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 427–433, July–August, 1984.
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Gladun, L.V., Plichko, A.N. Normalizing and strongly normalizing subspaces of a conjugate Banach space. Ukr Math J 36, 344–348 (1984). https://doi.org/10.1007/BF01066551
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DOI: https://doi.org/10.1007/BF01066551