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MiS Preprint
18/2013

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

Miroslav Bačák

Abstract

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:
Feb 1, 2013
Published:
Feb 1, 2013
MSC Codes:
47H20, 58D07
Keywords:
gradient flow semigroup, Lie-Trotter-Kato formula, resolvent

Related publications

inJournal
2014 Repository Open Access
Miroslav Bačák

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

In: Communications in contemporary mathematics, 16 (2014) 6, p. 1350044