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Bishop–Phelps–Bollobás property for bilinear forms on spaces of continuous functions

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Abstract

It is shown that the Bishop–Phelps–Bollobás theorem holds for bilinear forms on the complex \(C_0(L_1)\times C_0(L_2)\) for arbitrary locally compact topological Hausdorff spaces \(L_1\) and \(L_2\).

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Authors and Affiliations

  1. Department of Mathematics, Kyonggi University, Suwon, 443-760, Republic of Korea

    Sun Kwang Kim

  2. Department of Mathematics Education, Dongguk University - Seoul, Seoul, 100-715, Republic of Korea

    Han Ju Lee

  3. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain

    Miguel Martín

Authors
  1. Sun Kwang Kim
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  2. Han Ju Lee
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  3. Miguel Martín
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Correspondence to Han Ju Lee.

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Dedicated to the memory of Manuel Valdivia.

The first author partially was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2014R1A1A2056084). The second author partially was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2014R1A1A2053875). The third author partially supported by Spanish MINECO and FEDER Project No. MTM2012-31755 and by Junta de Andalucía and FEDER Grants FQM-185 and P09-FQM-4911.

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Kim, S.K., Lee, H.J. & Martín, M. Bishop–Phelps–Bollobás property for bilinear forms on spaces of continuous functions. Math. Z. 283, 157–167 (2016). https://doi.org/10.1007/s00209-015-1593-6

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  • DOI: https://doi.org/10.1007/s00209-015-1593-6

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