On a question of P.R. Chernoff and H.F. Trotter
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 C0-semigroup. This gives a positive answer to the question posed by P.R.Chernoff and H.F.Trotter.
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