BANACH SPACES WITH THE RIEMANN–LEBESGUE OR THE ANALYTIC RIEMANN–LEBESGUE PROPERTY
Published online by Cambridge University Press: 24 March 2003
Abstract
In this note, two geometric properties of Banach spaces are proposed and discussed, related to the validity of the lemma of Riemann–Lebesgue in spaces of weakly integrable functions. The class of Banach spaces with the analytic Riemann–Lebesgue property is shown to be precisely the class of Banach spaces for which a weak form of a theorem of Ingham holds.
- Type
- NOTES AND PAPERS
- Information
- Copyright
- © The London Mathematical Society 2002
Footnotes
- 2
- Cited by