V. V. Arestov, “Best approximation ol unbounded operators invariant with respect to a shift by the linear bounded operators”, Proceedings of the All-Union school on the theory of functions (Miass, July 1989), Trudy Mat. Inst. Steklov., 198, Nauka, Moscow, 1992, 3–20; Proc. Steklov Inst. Math., 198 (1994), 1

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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1992, Volume 198, Pages 3–20 (Mi tm1391)

This article is cited in 9 scientific papers (total in 9 papers)

Best approximation ol unbounded operators invariant with respect to a shift by the linear bounded operators

V. V. Arestov

Full-text PDF (2089 kB) Citations (9)

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: V. V. Arestov, “Best approximation ol unbounded operators invariant with respect to a shift by the linear bounded operators”, Proceedings of the All-Union school on the theory of functions (Miass, July 1989), Trudy Mat. Inst. Steklov., 198, Nauka, Moscow, 1992, 3–20; Proc. Steklov Inst. Math., 198 (1994), 1–16

Citation in format AMSBIB

\Bibitem{Are92}

\by V.~V.~Arestov

\paper Best approximation ol unbounded operators invariant with respect to a~shift by the linear bounded operators

\inbook Proceedings of the All-Union school on the theory of functions

\procinfo Miass, July 1989

\serial Trudy Mat. Inst. Steklov.

\yr 1992

\vol 198

\pages 3--20

\publ Nauka

\publaddr Moscow

\mathnet{http://mi.mathnet.ru/tm1391}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1289917}

\zmath{https://zbmath.org/?q=an:0827.41015}

\transl

\jour Proc. Steklov Inst. Math.

\yr 1994

\vol 198

\pages 1--16

Linking options:

https://www.mathnet.ru/eng/tm1391

https://www.mathnet.ru/eng/tm/v198/p3

This publication is cited in the following 9 articles:

V. V. Arestov, “Variant zadachi Stechkina o nailuchshem priblizhenii operatora differentsirovaniya drobnogo poryadka na osi”, Tr. IMM UrO RAN, 30, no. 4, 2024, 37–54
Vitalii V. Arestov, “Approximation of differentiation operators by bounded linear operators in lebesgue spaces on the axis and related problems in the spaces of $(p,q)$-multipliers and their predual spaces”, Ural Math. J., 9:2 (2023), 4–27
V. V. Arestov, R. R. Akopyan, “Zadacha Stechkina o nailuchshem priblizhenii neogranichennogo operatora ogranichennymi i rodstvennye ei zadachi”, Tr. IMM UrO RAN, 26, no. 4, 2020, 7–31
V. V. Arestov, “O sopryazhennosti prostranstva multiplikatorov”, Tr. IMM UrO RAN, 25, no. 4, 2019, 5–14
V. V. Arestov, “Best Uniform Approximation of the Differentiation Operator by Operators Bounded in the Space $L_2$”, Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S9–S30
Arestov V. Filatova M., “Best Approximation of the Differentiation Operator in the Space l-2 on the Semiaxis”, J. Approx. Theory, 187 (2014), 65–81
V. V. Arestov, M. A. Filatova, “On the approximation of the differentiation operator by linear bounded operators on the class of twice differentiable functions in the space $L_2(0,\infty)$”, Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 24–40
V. V. Arestov, “The best approximation to a class of functions of several variables by another class and related extremum problems”, Math. Notes, 64:3 (1998), 279–294
V. V. Arestov, “Approximation of unbounded operators by bounded operators and related extremal problems”, Russian Math. Surveys, 51:6 (1996), 1093–1126

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

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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