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Functions operating from a complex banach space to its real part

Research output: Contribution to journalArticlepeer-review

Abstract

We consider functions operating from a complex Banach function space to its real part. We show among other things, that if |6| ε ReB for all 6 in an ultraseparating Banach function space B, then ReB = CR(X).

Original languageEnglish
Pages (from-to)861-867
Number of pages7
JournalProceedings of the American Mathematical Society
Volume125
Issue number3
DOIs
Publication statusPublished - 1997

Other keywords

  • Function space
  • Operating functions
  • Ultraseparation

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