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This article is cited in 3 scientific papers (total in 3 papers)
Approximation of Continuous Functions on Complex Banach Spaces
M. A. Mitrofanov Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
Abstract:
We prove a complex analog of Kurzweil's theorem on the approximation of continuous functions on separable Banach spaces admitting a separating polynomial and obtain a complex analog of new results due to Boiso and Hájek.
Keywords:
analytic approximation, uniform continuity, Banach space, uniform convergence, analytic function, polyadditive mapping, antilinear functional, symmetric linear operator
DOI:
https://doi.org/10.4213/mzm5161
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English version:
Mathematical Notes, 2009, 86:4, 530–541
Bibliographic databases:
UDC:
517.98 Received: 19.06.2008 Revised: 17.12.2008
Citation:
M. A. Mitrofanov, “Approximation of Continuous Functions on Complex Banach Spaces”, Mat. Zametki, 86:4 (2009), 557–570; Math. Notes, 86:4 (2009), 530–541
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz5161https://doi.org/10.4213/mzm5161 http://mi.mathnet.ru/eng/mz/v86/i4/p557
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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A. V. Zagorodnjuk, M. A. Mitrofanov, “An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces”, Math. Notes, 97:2 (2015), 179–189
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Vasylyshyn T.V., “Some Properties of Shift Operators on Algebras Generated By - Polynomials”, Carpathian Math. Publ., 10:1 (2018), 206–212
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Vasylyshyn T.V., “Symmetric -Polynomials on C-N”, Carpathian Math. Publ., 10:2 (2018), 395–401
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