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Multiplier convergent series and uniform convergence of mapping series

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Abstract

In this paper, we introduce the frame property of complex sequence sets and study the uniform convergence of nonlinear mapping series in β-dual of spaces consisting of multiplier convergent series.

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Acknowledgement

This work is supported by Natural Science Foundations of China (11101108).

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Authors and Affiliations

  1. Robotics and Microsystems Center, Soochow University, Suzhou, 215021, China

    HAO GUO

  2. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    RONGLU LI

Authors
  1. HAO GUO
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  2. RONGLU LI
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Correspondence to HAO GUO.

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GUO, H., LI, R. Multiplier convergent series and uniform convergence of mapping series. Proc Math Sci 123, 67–73 (2013). https://doi.org/10.1007/s12044-013-0111-1

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  • DOI: https://doi.org/10.1007/s12044-013-0111-1

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