Geodesic
Approximation of Continuous Functions on Complex Banach Spaces
Matematičeskie zametki, Tome 86 (2009) no. 4, pp. 557-570

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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, analytic function, polyadditive mapping, antilinear functional, symmetric linear operator.
Mots-clés : uniform convergence 
@article{MZM_2009_86_4_a8,
     author = {M. A. Mitrofanov},
     title = {Approximation of {Continuous} {Functions} on {Complex} {Banach} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {557--570},
     publisher = {mathdoc},
     volume = {86},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_4_a8/}
}
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M. A. Mitrofanov. Approximation of Continuous Functions on Complex Banach Spaces. Matematičeskie zametki, Tome 86 (2009) no. 4, pp. 557-570. http://geodesic.mathdoc.fr/item/MZM_2009_86_4_a8/