Literature Cited
B. S. Mityagin, “Sur l'équivalence des bases inconditionales dans les échelles de Hilbert,” C. R. Acad. Sci.,269, 426–428 (1969).
B. S. Mityagin, “Equivalence of bases in Hilbert scales,” Stud. Math.,37, 111–137 (1971).
V. P. Zakharyuta, “Linear topological invariants and isomorphism of spaces of analytic functions (Secs. 1–3),” Mat. Analiz Prilozhen.,2, 3–13 (1970); corrections and complements (Secs. 4–6), ibid.,3, 176–180 (1971).
V. P. Zakharyuta, “Isomorphism and quasiequivalence of bases for Köthe power spaces,” Dokl. Akad. Nauk SSSR,221, No. 4, 772–774 (1975).
V. P. Zakharyuta, “Isomorphism and quasiequivalence of bases for Köthe power spaces,” in: Proceedings of the Seventh Drogobychskii Mathematics School on Functional Analysis, Moscow (1974).
B. S. Mityagin, “Approximative dimension and bases in nuclear spaces,” Usp. Mat. Nauk,16, No. 4, 63–132 (1961).
L. A. Eizenberg and B. S. Mityagin, “Spaces of functions analytic in multiply circular domains,” Sib. Mat. Zh.,1, No. 2, 153–170 (1960).
S. D. Okun’, “On isomorphism of spaces of functions analytic in doubly circular domains,” Uch. Zap. Mosk. Obl. Pedagog. Inst.,166, 139–156 (1966).
G. M. Bezdudnyi, “On isomorphisms of spaces of functions holomorphic in a certain class of a doubly circular domains,” in: Communications of the Third Conference of the Mathematical Research Society of Rostov University [in Russian], No. 1, Rostov-on-Don (1969), pp. 66–72.
Additional information
Rostov State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 11, No. 3, pp. 24–30, July–September, 1977.
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Zakharyuta, V.P. Generalized Mityagin invariants and a continuum of pairwise nonisomorphic spaces of analytic functions. Funct Anal Its Appl 11, 182–188 (1977). https://doi.org/10.1007/BF01079463
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DOI: https://doi.org/10.1007/BF01079463