- 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
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Last update: 2013-04-11
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