1 Correction to: Ann. Henri Poincaré 22, Issue 5 (2021) https://doi.org/10.1007/s00023-020-01014-z
Claims (a) and (b) in Chernoff’s theorem quoted in Sect. 3 contain misprints; the correct text reads:
(a) For some \(\lambda _0>0\), the family \(\big \{\big (\lambda _0 I + \tfrac{I-F(\varepsilon )}{\varepsilon }\big )^{-1}\big \}_{\varepsilon >0}\) converges strongly to \((\lambda _0 I+A)^{-1}\) as \(\varepsilon \rightarrow 0+\).
(b) As \(n\rightarrow \infty \), \(\{F(\tfrac{t}{n})^n\}_{n=1}^{\infty }\) converges strongly to \(\mathrm {e}^{-tA}\), uniformly on bounded t-intervals.
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Exner, P., Ichinose, T. Correction to: Note on a Product Formula Related to Quantum Zeno Dynamics. Ann. Henri Poincaré 22, 1699–1700 (2021). https://doi.org/10.1007/s00023-021-01056-x
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DOI: https://doi.org/10.1007/s00023-021-01056-x