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arXiv · 2511.17686

On a question of P.R. Chernoff and H.F. Trotter

M. A. Perelmuter
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Abstract

Let $A$ be a dissipative operator on a Banach space with a dense domain. It is proved that $A$ has a quasi-dissipative extension (possibly in an enlarged Banach space) which generates a quasi-contractive $C_0$-semigroup. \par This gives a positive answer to the question posed by P.R.Chernoff and H.F.Trotter.

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M. A. Perelmuter. 2025-11-21. On a question of P.R. Chernoff and H.F. Trotter. https://arxiv.org/abs/2511.17686

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