Cyclic projections in Hadamard spaces
Functional Analysis
2022-07-11 v2 Differential Geometry
Metric Geometry
Abstract
We show that cyclic products of projections onto convex subsets of Hadamard spaces can behave in a more complicated way than in Hilbert spaces, resolving a problem formulated by Miroslav Ba\v{c}\'ak. Namely, we construct an example of convex subsets in a Hadamard space such that the corresponding cyclic product of projections is not asymptotically regular.
Cite
@article{arxiv.2104.09026,
title = {Cyclic projections in Hadamard spaces},
author = {Alexander Lytchak and Anton Petrunin},
journal= {arXiv preprint arXiv:2104.09026},
year = {2022}
}
Comments
6 pages, 3 figures