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The Bishop–Phelps–Bollobás properties in complex Hilbert spaces

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  • Yun Sung Choi
  • Sheldon Dantas
  • Mingu Jung

Abstract

In this paper, we consider the Bishop–Phelps–Bollobás point property for various classes of operators on complex Hilbert spaces, which is a stronger property than the Bishop–Phelps–Bollobás property. We also deal with analogous problem by replacing the norm of an operator with its numerical radius.

Suggested Citation

  • Yun Sung Choi & Sheldon Dantas & Mingu Jung, 2021. "The Bishop–Phelps–Bollobás properties in complex Hilbert spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 294(11), pages 2105-2120, November.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:11:p:2105-2120
    DOI: 10.1002/mana.201900288
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    References listed on IDEAS

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    1. Sun Kwang Kim & Han Ju Lee & Miguel Martín, 2014. "On the Bishop-Phelps-Bollobás Property for Numerical Radius," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, April.
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