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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-4, author = {Jan Rusinek}, title = {Generalized Analytic and Quasi-Analytic Vectors}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {39-46}, zbl = {1110.47015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-4} }
Jan Rusinek. Generalized Analytic and Quasi-Analytic Vectors. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 39-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-4/