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The Lie-Trotter product formula does not hold for arbitrary sums of generators

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Publication:1976437
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DOI10.1007/s002339910039zbMath0976.47021OpenAlexW2122121116MaRDI QIDQ1976437

Franziska Kühnemund, Markus Wacker

Publication date: 26 October 2000

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002339910039


zbMATH Keywords

\(m\)-accretive operatorsLie-Trotter product formulasum of generators


Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Groups and semigroups of linear operators (47D03)


Related Items (3)

A simple counterexample related to the Lie-Trotter product formula ⋮ Commutator conditions implying the convergence of the Lie–Trotter products ⋮ Sums and commutators of generators of noncommuting strongly continuous groups.




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