Denseness of norm attaining compact operators to some vector-valued function spaces

Sun Kwang Kim, Han Ju Lee

Research output: Contribution to journalArticlepeer-review

Abstract

It is known that every compact linear operator from a Banach space to a uniform algebra can be approximated by norm attaining ones. In this paper, we study this approximation for compact operators whose range is a vector-valued function space.

Original languageEnglish
Article number69
JournalBanach Journal of Mathematical Analysis
Volume16
Issue number4
DOIs
StatePublished - Oct 2022

Keywords

  • Banach space
  • Function algebra
  • Norm attaining operator
  • The Bishop–Phelps theorem
  • The Bishop–Phelps–Bollobás theorem

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