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Transactions of the American Mathematical Society
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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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0295125-5
PII: S 0002-9947(1972)0295125-5
Keywords: Quasi-analytic vectors, essential selfadjointness, semigroup generators
Article copyright: © Copyright 1972 American Mathematical Society