p-analytic and p-quasi-analytic vectors

被引:0
|
作者
Rusinek, J
机构
[1] Warsaw Univ, Inst Appl Math & Mech, PL-00913 Warsaw, Poland
[2] Soc Econ Enterprise, Warsaw Higher Sch Management, PL-03772 Warsaw, Poland
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D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页码:233 / 250
页数:18
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