The second mixed projection problem and the projection centroid conjectures
Mohammad N. Ivaki
TL;DR
This paper addresses open problems related to the fixed points and iterative behavior of the second mixed projection operator and related geometric operators, advancing understanding in convex geometry.
Contribution
It provides partial solutions to open classification problems of fixed points and iteration behavior of specific projection operators in convex geometry.
Findings
Partial classification of fixed points of the second mixed projection operator
Insights into the iterative behavior of projection and centroid operators
Progress on open problems in convex geometric analysis
Abstract
We provide partial answers to the open problems 4.5, 4.6 of \cite{Gardner} and 12.9 of \cite{Lut1} regarding the classification of fixed points of the second mixed projection operator and iterates of the projection and centroid operators.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Banach Space Theory · Point processes and geometric inequalities · Holomorphic and Operator Theory