The norm convergence of the Trotter-Kato product formula with error bound (Q5940442)
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scientific article; zbMATH DE number 1631833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The norm convergence of the Trotter-Kato product formula with error bound |
scientific article; zbMATH DE number 1631833 |
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The norm convergence of the Trotter-Kato product formula with error bound (English)
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9 August 2001
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The authors prove that the Lie-Trotter-Kato product formula \[ \lim_{n \to \infty} (e^{- {t}/{n} A} e^{- {t}/{n} B})^{n} = e^{-t(A+B)} \] (and variants) hold even for operator norm convergence if (among other conditions) the sum \(A+B\) is selfadjoint on \(D(A) \cap D(B)\).
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Lie-Trotter-Kato product formula
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