p-Analytic and p-quasi-analytic vectors
Tom 127 / 1998
Studia Mathematica 127 (1998), 233-250
DOI: 10.4064/sm-127-3-233-250
Streszczenie
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.
