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Matematicheskie Zametki, 2009, Volume 86, Issue 4, Pages 557–570
DOI: https://doi.org/10.4213/mzm5161 (Mi mzm5161) 		 
This article is cited in 7 scientific papers (total in 7 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
Full-text PDF (493 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm5161
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.
Received: 19.06.2008
Revised: 17.12.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 4, Pages 530–541
DOI: https://doi.org/10.1134/S0001434609090302
Bibliographic databases:
UDC: 517.98
Language: Russian
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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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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