In this note a very simple example is given which shows that if the sum of two semigroup generators is itself a generator, the generated semigroup in general can not be given by the Lie--Trotter product formula.

Canzi, C., Guerra, G. (2012). A simple counterexample related to the Lie–Trotter product formula. SEMIGROUP FORUM, 84(3), 499-504 [10.1007/s00233-011-9326-6].

A simple counterexample related to the Lie–Trotter product formula

GUERRA, GRAZIANO
2012

Abstract

In this note a very simple example is given which shows that if the sum of two semigroup generators is itself a generator, the generated semigroup in general can not be given by the Lie--Trotter product formula.
Articolo in rivista - Articolo scientifico
Lie--Trotter product, Linear semigroups of operators, counterexample
English
2012
84
3
499
504
none
Canzi, C., Guerra, G. (2012). A simple counterexample related to the Lie–Trotter product formula. SEMIGROUP FORUM, 84(3), 499-504 [10.1007/s00233-011-9326-6].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/31695
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