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Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces

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Abstract

In this paper, we deal with the convergence of sequences of positive linear maps to a (not assumed to be linear) isometry on spaces of continuous functions. We obtain generalizations of known Korovkin-type results and provide several illustrative examples.

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Authors and Affiliations

  1. Department of Mathematics, K. N. Toosi University of Technology, Tehran, 16315-1618, Iran

    Maliheh Hosseini

  2. Departamento de Matemáticas, Universitat Jaume I, Campus Riu Sec, 8029 AP, Castellón, Spain

    Juan J. Font

Authors
  1. Maliheh Hosseini
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  2. Juan J. Font
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Correspondence to Juan J. Font.

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Communicated by Wolfgang Dahmen.

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J. J. Font is supported by Spanish Government Grant MTM2016-77143-P (AEI/FEDER, UE) and Generalitat Valenciana (Projecte GV/2018/110).

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Hosseini, M., Font, J.J. Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces. Constr Approx 52, 423–432 (2020). https://doi.org/10.1007/s00365-019-09485-y

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  • DOI: https://doi.org/10.1007/s00365-019-09485-y

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