A new proof of the Lie-Trotter-Kato formula in Hadamard spaces

Abstract

The Lie-Trotter-Kato product formula has been 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 instead of an ultrapower technique.

arXiv admin note: text overlap with arXiv:1211.0414

References in corpus (4)

• Point estimates in phylogenetic reconstructions
• Firmly nonexpansive mappings in classes of geodesic spaces
• The proximal point algorithm in metric spaces
• Convergence of nonlinear semigroups under nonpositive curvature

Cited by in corpus (2)

• Lipschitz retraction of finite subsets of Hilbert spaces
• Lipschitz retractions in Hadamard spaces via gradient flow semigroups