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math.FA2026
A sphere obstruction for the Hilbert shift quotient
Avik Das, Christian Rosendal
Let and let act by bilateral shifts. We prove that the quotient of the unit sphere, equipped with its q…
math.FA2025
Amenability, Optimal Transport and Abstract Ergodic Theorems
Christian Rosendal
Using tools from the theory of optimal transport, we establish several results concerning isometric actions of amenable topological groups with potentially unbounded orbits. Specif…