Corpus ID: 237581574

A Bishop-Phelps-Bollob\'{a}s theorem for bounded analytic functions

@inproceedings{Bala2021ABT,
  title={A Bishop-Phelps-Bollob\'\{a\}s theorem for bounded analytic functions},
  author={Neeru Bala and Kousik Dhara and Jaydeb Sarkar and Aryaman Sensarma},
  year={2021}
}
Let H∞ denote the Banach algebra of all bounded analytic functions on the open unit disc and denote by B(H∞) the Banach space of all bounded linear operators from H ∞ to itself. We prove that the Bishop-Phelps-Bollobás property holds for B(H∞). As an application to our approach, we prove that the Bishop-Phelps-Bollobás property also holds for operator ideals of B(H∞). 

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