Generalized Analytic and Quasi-Analytic Vectors

• Autorzy: Jan Rusinek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 47B65: Positive operators and order-bounded operators
• 40A05: Convergence and divergence of series and sequences
• 40A20: Convergence and divergence of infinite products
• 47B25: Symmetric and selfadjoint operators (unbounded)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 1
• Strony: 39-46

Daty

wydano

2004

Twórcy

autor

Jan Rusinek

• Cardinal Stefan Wyszyński University, Faculty of Mathematics and Natural Sciences, College of Sciences, Dewajtis 5, 01-815 Warszawa, Poland

Identyfikatory

DOI

10.4064/ba52-1-4