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A new proof of the Lie-Trotter-Kato formula in Hadamard spaces
Miroslav BačákAbstract
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.
- Received:
- 01.02.13
- Published:
- 01.02.13
- MSC Codes:
- 47H20, 58D07
- Keywords:
- gradient flow semigroup, Lie-Trotter-Kato formula, resolvent