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Literature Cited
L. N. Nikol'skaya, “Geometric properties of systems of characteristic vectors and point spectra of linear operators,” Funktsional. Analiz Ego Prilozhen.,4, No. 3, 105–106 (1970).
L. N. Nikol'skaya, “ω-Independence, stability, and massiveness of sets of characteristic vectors of linear operators,” Zap. Nauch. Seminar. Leningrad. Otd. Matem. In-ta Akad. Nauk SSSR,22, 190 (1971).
J. Dixmier and C. Foias, Colloq. Math. Soc. Janos Bolyai, Budapest,5, 127–133 (1970).
I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Non-Self-Adjoint Linear Operators in Hilbert Space [in Russian], Nauka, Moscow (1965).
A. Pelczynski, “Projections in certain Banach spaces,” Studia Math.,19, 209–228 (1960).
I. Singer, “Sur un problème d'isomorphie de S. Banach,” Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.,30, No. 3, 343–346 (1961).
L. N. Nikol'skaya, “Some remarks on the geometric features of systems of characteristic vectors of linear operators,” Matem. Issled., No. 2, 71–87 (1969).
S. Levin (S. Lewin), “Über einige mit der Konvergenz im Mittel verbundenen Eigenschafte von Funktionenfolgen,” Math. Z.,32, 491–511 (1930).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 6, pp. 1412–1416, November–December, 1976.
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Nikol'skaya, L.N. Characteristic vectors of linear operators and ω-independence. Sib Math J 17, 1032–1035 (1976). https://doi.org/10.1007/BF00968034
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DOI: https://doi.org/10.1007/BF00968034