Yu. F. Korobeinik, “On a dual problem. II. Applications to $LN^*$-spaces and other questions”, Math. USSR-Sb., 27:1 (1975), 1

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Mathematics of the USSR-Sbornik, 1975, Volume 27, Issue 1, Pages 1–22
DOI: https://doi.org/10.1070/SM1975v027n01ABEH002495 (Mi sm3667)

This article is cited in 11 scientific papers (total in 11 papers)

On a dual problem. II. Applications to

L N^{*}

$LN^*$ -spaces and other questions

Yu. F. Korobeinik

English version PDF (1328 kB) Citations (11) Russian version article

References:

PDF

HTML

DOI: https://doi.org/10.1070/SM1975v027n01ABEH002495

Abstract: In part I we obtained general results on the connection between whether or not the system

{x_{k}}

$\{x_k\}$ is a basis in the closure of its linear span and the solvability of a certain interpolation problem. In this paper we consider applications of these results to various specific nuclear

L N^{*}

$LN^*$ -spaces of analytic functions.
Bibliography: 17 titles.

Received: 16.04.1974

Bibliographic databases:

UDC: 517.52+513.88

MSC: Primary 30A98, 46A35; Secondary 30A08, 30A16, 30A18, 30A62, 30A64, 30A80, 34A20, 3

Language: English

Original paper language: Russian

Citation: Yu. F. Korobeinik, “On a dual problem. II. Applications to

L N^{*}

$LN^*$ -spaces and other questions”, Math. USSR-Sb., 27:1 (1975), 1–22

Citation in format AMSBIB

\Bibitem{Kor75}

\by Yu.~F.~Korobeinik

\paper On~a~dual problem. II.~Applications to $LN^*$-spaces and other questions

\jour Math. USSR-Sb.

\yr 1975

\vol 27

\issue 1

\pages 1--22

\mathnet{http://mi.mathnet.ru/eng/sm3667}

\crossref{https://doi.org/10.1070/SM1975v027n01ABEH002495}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397353}

\zmath{https://zbmath.org/?q=an:0325.46011}

Linking options:

https://www.mathnet.ru/eng/sm3667

https://doi.org/10.1070/SM1975v027n01ABEH002495

https://www.mathnet.ru/eng/sm/v140/i1/p3

Cycle of papers

On a dual problem. I. General results. Applications to Frèchet spaces
Yu. F. Korobeinik
Mat. Sb. (N.S.), 1975, 97(139):2(6), 193–229
On a dual problem. II. Applications to $LN^*$ -spaces and other questions
Yu. F. Korobeinik
Mat. Sb. (N.S.), 1975, 98(140):1(9), 3–26

This publication is cited in the following 11 articles:

A.V. Abanin, L.H. Khoi, “Mutual dualities betweenA−∞(Ω) and for lineally convex domains”, Complex Variables and Elliptic Equations, 2012, 1
L. V. Kuz'min, T. S. Fofanova, M. Sh. Tsalenko, A. B. Ivanov, V. L. Popov, L. N. Shevrin, V. N. Grishin, M. M. Lavrent'ev, P. S. Soltan, N. M. Nagornyǐ, L. A. Bokut', S. M. Nikol'skiǐ, A. V. Chernavskiǐ, S. Z. Shefel', A. G. Dragalin, V. A. Dushskiǐ, S. K. Sobolev, V. E. Plisko, L. D. Kudryavtsev, V. I. Danilov, V. A. Trenogin, N. N. Vil'yams, M. I. Voǐtsekhovskiǐ, V. E. Tarakanov, S. A. Rukova, V. I. Pagurova, I. V. Ostrovskiǐ, A. I. Shtern, Yu. V. Prokhorov, D. V. Anosov, S. A. Stepanov, M. A. Shubin, V. I. Zaǐtsev, M. S. Nikulin, D. D. Sokolov, D. P. Zhelobenko, M. A. Naǐmark, B. A. Pasynkov, E. B. Yanovskaya, E. D. Solomentsev, P. M. Tamrazov, Ü. Lumiste, A. N. Kolmogorov, N. N. Chentsov, R. L. Dobrushin, V. V. Prelov, A. V. Prokhorov, I. N. Vrublevskaya, V. M. Tikhomirov, A. V. Mikhalev, A. A. Tuganbaev, I. V. Dolgachev, E. G. Gol'shteǐn, E. V. Levner, V. A. Il'in, N. N. Ladis, B, Encyclopaedia of Mathematics, 1995, 123
M. Hazewinkel, Encyclopaedia of Mathematics, 1990, 1
V. A. Oskolkov, “On the completeness and quasipower basis property of systems $\{z^nf(\lambda_nz)\}$ ”, Math. USSR-Sb., 66:2 (1990), 383–392
Porn C., “Systems of Absolute Representation in Spaces of Holomorphic-Functions”, Studia Math., 94:3 (1989), 193–212
Yu. F. Korobeinik, “Convolution equations in the complex domain”, Math. USSR-Sb., 55:1 (1986), 171–194
Bratishchev A., “Sufficient Conditions of Interpolationality of a Set in Entire Function Classes Characterized by an Indicator”, 279, no. 5, 1984, 1036–1039
Yu. F. Korobeinik, “Interpolation problems, nontrivial expansions of zero, and representing systems”, Math. USSR-Izv., 17:2 (1981), 299–337
V. A. Tkachenko, “Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable”, Math. USSR-Sb., 40:3 (1981), 387–427
Yu. F. Korobeinik, “Representing systems”, Math. USSR-Izv., 12:2 (1978), 309–335
V. A. Oskolkov, “Some bases in spaces of regular functions and their application to interpolation”, Math. USSR-Sb., 34:2 (1978), 215–234

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	449
Russian version PDF:	129
English version PDF:	23
References:	79
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