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math.FA2022★ 1 cited
On a weak topology for Hadamard spaces and its applications
Arian Bërdëllima
We investigate if an existing notion of weak sequential convergence in a Hadamard space can be induced by a topology. We provide an answer on what we call weakly proper Hadamard sp…
math.MG2022
Weak topologies for unbounded nets in CAT() spaces
Philip Miller, Arian Berdellima, Max Wardetzky
Weak topologies that yield weak convergence for bounded sequences and nets in CAT() spaces have been studied in the past. We are here concerned with weak topologies that yield w…
math.FA2022
Quasi -Firmly Nonexpansive Mappings in Wasserstein Spaces
Arian Bërdëllima, Gabriele Steidl
This paper introduces the concept of quasi -firmly nonexpansive mappings in Wasserstein spaces over and analyzes properties of these mappings. We prove that for qu…