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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
other publication id
2011:E49
language
English
id
2493469
date added to LUP
2012-09-20 14:56:51
date last changed
2024-10-25 15:38:46
@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}},
}