Displaying similar documents to “The Laplace transform of analytic vector-valued functions (complex conditions)”

p-Analytic and p-quasi-analytic vectors

Jan Rusinek (1998)

Studia Mathematica

Similarity:

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.