Generalized Analytic and Quasi-Analytic Vectors
Bulletin Polish Acad. Sci. Math. 52 (2004), 39-46 MSC: 40A05, 40A20, 47B25, 47B37, 47B65. DOI: 10.4064/ba52-1-4
For every sequence $(a_n)$ of positive real numbers and an operator acting in a Banach space, we introduce the families of $(a_n)$-analytic and $(a_n)$-quasi-analytic vectors. We prove various properties of these families.