p-Analytic and p-quasi-analytic vectors
Rusinek, Jan
Studia Mathematica, Tome 129 (1998), p. 233-250 / Harvested from The Polish Digital Mathematics Library
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For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216470 
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Rusinek, Jan. p-Analytic and p-quasi-analytic vectors. Studia Mathematica, Tome 129 (1998) pp. 233-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv127i3p233bwm/

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