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Zakharyuta, V. P.

Generalized Mityagin invariants and a continuum of pairwise nonisomorphic spaces of analytic functions. (English) Zbl 0423.46015

Funct. Anal. Appl. 11, 182-188 (1978).
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MSC:

46E10 Topological linear spaces of continuous, differentiable or analytic functions
32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010)

Keywords:

generalized Mityagin invariants; spaces of analytic functions; Köthe space

Citations:

Zbl 0404.46015
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References:

[1] B. S. Mityagin, ?Sur l’équivalence des bases inconditionales dans les échelles de Hilbert,? C. R. Acad. Sci.,269, 426-428 (1969). · Zbl 0186.44704
[2] B. S. Mityagin, ?Equivalence of bases in Hilbert scales,? Stud. Math.,37, 111-137 (1971). · Zbl 0215.19502
[3] 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).
[4] V. P. Zakharyuta, ?Isomorphism and quasiequivalence of bases for Köthe power spaces,? Dokl. Akad. Nauk SSSR,221, No. 4, 772-774 (1975). · Zbl 0318.46016
[5] 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). · Zbl 0318.46016
[6] B. S. Mityagin, ?Approximative dimension and bases in nuclear spaces,? Usp. Mat. Nauk,16, No. 4, 63-132 (1961). · Zbl 0104.08601
[7] L. A. Eizenberg and B. S. Mityagin, ?Spaces of functions analytic in multiply circular domains,? Sib. Mat. Zh.,1, No. 2, 153-170 (1960).
[8] S. D. Okun?, ?On isomorphism of spaces of functions analytic in doubly circular domains,? Uch. Zap. Mosk. Obl. Pedagog. Inst.,166, 139-156 (1966).
[9] 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.
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