Displaying similar documents to “On quasi-analytic vectors for some classes of operators”

Generalized Analytic and Quasi-Analytic Vectors

Jan Rusinek (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.

p-Analytic and p-quasi-analytic vectors

Jan Rusinek (1998)

Studia Mathematica

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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.