p-Analytic and p-quasi-analytic vectors
Studia Mathematica, Tome 127 (1998) no. 3, pp. 233-250
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_127_3_233_250,
author = {Jan Rusinek},
title = {p-Analytic and p-quasi-analytic vectors},
journal = {Studia Mathematica},
pages = {233--250},
publisher = {mathdoc},
volume = {127},
number = {3},
year = {1998},
doi = {10.4064/sm-127-3-233-250},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-127-3-233-250/}
}
Jan Rusinek. p-Analytic and p-quasi-analytic vectors. Studia Mathematica, Tome 127 (1998) no. 3, pp. 233-250. doi: 10.4064/sm-127-3-233-250
Cité par Sources :