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Displaying similar documents to “Linear Functionals in the Theory of Quasi - Analytic and D-Analytic Classes”

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.