Advanced

On vector-valued holomorphic functions

Holmberg, Håkan (2011) In Master's Theses in Mathematical Sciences MATM01 20112
Mathematics (Faculty of Sciences)
Abstract
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.
Please use this url to cite or link to this publication:
author
Holmberg, Håkan
supervisor
organization
course
MATM01 20112
year
type
H2 - Master's Degree (Two Years)
subject
publication/series
Master's Theses in Mathematical Sciences
report number
LUNFMA-3065-2011
ISSN
1404-6342
language
English
id
2493469
date added to LUP
2012-09-20 14:56:51
date last changed
2012-09-20 14:56:51
@misc{2493469,
  abstract     = {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.},
  author       = {Holmberg, Håkan},
  issn         = {1404-6342},
  language     = {eng},
  note         = {Student Paper},
  series       = {Master's Theses in Mathematical Sciences},
  title        = {On vector-valued holomorphic functions},
  year         = {2011},
}