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arXiv · 2104.09026

Cyclic projections in Hadamard spaces

Alexander Lytchak·Anton Petrunin
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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.

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Alexander Lytchak, Anton Petrunin. 2021-04-19. Cyclic projections in Hadamard spaces. https://doi.org/10.1007/s10957-022-02043-w

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