Approximation of continuous functions on complex Banach spaces

被引：0
|
作者：
M. A. Mitrofanov
机构：
[1] Institute for Applied Problems of Mechanics and Mathematics,
来源：
Mathematical Notes | 2009年 / 86卷
关键词：
analytic approximation; uniform continuity; Banach space; uniform convergence; analytic function; polyadditive mapping; antilinear functional; symmetric linear operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
相关论文
共 50 条
  • [41] POLYNOMIAL-APPROXIMATION OF DIFFERENTIABLE FUNCTIONS ON BANACH-SPACES
    ARON, RM
    PROLLA, JB
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1980, 313 : 195 - 216
  • [42] Approximation by smooth functions with no critical points on separable Banach spaces
    Azagra, D.
    Jimenez-Sevilla, M.
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 242 (01) : 1 - 36
  • [43] Approximation of functions and their derivatives by analytic maps on certain Banach spaces
    Azagra, D.
    Fry, R.
    Keener, L.
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 : 953 - 964
  • [44] Approximation by Cp-smooth, Lipschitz functions on Banach spaces
    Fry, R
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (02) : 599 - 605
  • [45] Generalized Growth and Faber Polynomial Approximation of Entire Functions of Several Complex Variables in Some Banach Spaces
    Kumar, Devendra
    Vijayran, Manisha
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (01): : 582 - 597
  • [46] Generalized Lower Order and Approximation of Entire Transcendental Functions of Several Complex Variables in Some Banach Spaces
    Kumar, Devendra
    Alghamdi, Azza M.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (04): : 1279 - 1293
  • [47] Generalized Growth and Faber Polynomial Approximation Of Entire Functions of Several Complex Variables in Some Banach Spaces
    Kumar, Devendra
    Vijayran, Manisha
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (01): : 602 - 616
  • [48] OPERATORS ON TWO BANACH SPACES OF CONTINUOUS FUNCTIONS ON LOCALLY COMPACT SPACES OF ORDINALS
    Kania, Tomasz
    Laustsen, Niels Jakob
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (06) : 2585 - 2596
  • [49] Banach spaces of continuous functions without norming Markushevich bases
    Russo, Tommaso
    Somaglia, Jacopo
    [J]. MATHEMATIKA, 2023, 69 (04) : 992 - 1010
  • [50] Weakly continuous holomorphic functions on pseudoconvex domains in Banach spaces
    Mujica, Jorge
    Vieira, Daniela M.
    [J]. REVISTA MATEMATICA COMPLUTENSE, 2010, 23 (02): : 435 - 452
12345