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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Some remarks on quasi-analytic vectors

Author: Paul R. Chernoff
Journal: Trans. Amer. Math. Soc. 167 (1972), 105-113
MSC: Primary 47A60
MathSciNet review: 0295125
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Abstract: Recently a number of authors have developed conditions of a generalized quasi-analytic nature which imply essential selfadjointness for semibounded symmetric operators in Hilbert space. We give a unified derivation of these results by reducing them to the basic theorems of Nelson and Nussbaum. In addition we present an extension of Nussbaum's quasi-analytic vector theorem to the setting of semigroups in Banach spaces.

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Keywords: Quasi-analytic vectors, essential selfadjointness, semigroup generators
Article copyright: © Copyright 1972 American Mathematical Society