Mathematical Sciences

Lund University

  • Title: On vector-valued holomorphic functions
  • Description: We show that a closed subspace of a dual Banach space determines boundedness if and only if it is almost norming. This result further ties up recent work on vector-valued analyticity by Arendt and Nikolski to approximation properties in the weak$^*$ topology. We also present direct proofs of two generalizations of Nelson Dunford's classical result that weak analyticity implies strong analyticity.
  • Start Date: Oct. 15, 2011
  • Finished Date: Oct. 15, 2011
  • Supervisor: Anders Olofsson
  • Student: Håkan Holmberg