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A new proof of the Lie-Trotter-Kato formula in Hadamard spaces
The Lie-Trotter-Kato product formula was recently extended into Hadamard spaces by [Stojkovic, Adv. Calc. Var., 2012]. The aim of our short note is to give a simpler proof relying upon weak convergence. Unlike in the original proof, we completely avoid using ultrapowers of Hadamard spaces and any additional compactness assumptions.