Exploring convexity in normed spaces

[thumbnail of WRAP-exploring-convexity-normed-spaces-Acosta-Babb-2024.pdf] PDF
WRAP-exploring-convexity-normed-spaces-Acosta-Babb-2024.pdf - Accepted Version
Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer.

Download (412kB)

Request Changes to record.

Abstract

Normed spaces appear to have very little going for them: aside from the hackneyed linear structure, you get a norm whose only virtue, aside from separating points, is the Triangle Inequality. What could you possibly prove with that? As it turns out, quite a lot. In this article we will start by considering basic convexity properties of normed spaces, and gradually build up to some of the highlights of Functional Analysis, emphasizing how these notions of convexity play a key role in proving many surprising and deep results.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: American Mathematical Monthly
Publisher: Mathematical Association of America
ISSN: 0002-9890
Official Date: 2024
Dates:
Date
Event
2024
Available
21 May 2024
Accepted
Status: Peer Reviewed
Publication Status: In Press
Re-use Statement: This is an Accepted Manuscript of an article published by Taylor & Francis in American Mathematical Monthly on [date of publication], available at: https://doi.org/[Article DOI].
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 23 May 2024
Related URLs:
URI: https://wrap.warwick.ac.uk/185880/

Export / Share Citation


Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item