skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.


Title: Noncommutative Partial Convexity Via $$\Gamma $$-Convexity
Award ID(s):
1900364 1764231
PAR ID:
10249328
Author(s) / Creator(s):
; ; ; ;
Date Published:
Journal Name:
The Journal of Geometric Analysis
Volume:
31
Issue:
3
ISSN:
1050-6926
Page Range / eLocation ID:
3137 to 3160
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. We revisit the question of whether the functions defined on the real $$m\times n$$ matrices that are convex along rank-one directions are also quasi-convex in the sense of Morrey. Using the linearity of the map $$f\to \int_{\TT^n} f(\nabla u(x))\,dx$$, we propose to study the question as a problem in convex optimization. This might be useful when trying to resolve the open cases, such as the case $m=2$, or various cases with symmetries. 
    more » « less