Uniformly convex Banach spaces are reflexive—constructively

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 2013 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 59, pages 352-356 (issn: 0942-5616, eissn: 1521-3870,

Copyright policy )Funded by:EC | COMPUTAL

Authors: Douglas S. Bridges; Hajime Ishihara; Maarten McKubre-Jordens;

doi: 10.1002/malq.201200093

Uniformly convex Banach spaces are reflexive—constructively

- Summary
- Subjects
- Metrics

Abstract

We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the Milman‐Pettis theorem that uniformly convex Banach spaces are reflexive.

Related Organizations

Japan Advanced Institute of Science and Technology
Japan
University of Canterbury
New Zealand

Keywords

uniformly convex space, reflexive space, Milman-Pettis theorem, pliant space, Duality and reflexivity in normed linear and Banach spaces, Constructive functional analysis, quasinormed space, constructive analysis, Constructive and recursive analysis

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average