p-Analytic and p-quasi-analytic vectors

• Autorzy: Jan Rusinek
• Języki publikacji: EN

Abstrakty

EN

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.

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: Studia Mathematica
• Rocznik: 1998
• Tom: 127
• Numer: 3
• Strony: 233-250

Daty

wydano

1998

otrzymano

1996-11-13

poprawiono

1997-08-04

poprawiono

1997-10-07

Twórcy

autor

Jan Rusinek

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 00-913 Warszawa, Poland
• Warsaw Higher School of Management for The Society of Economic Enterprise, Kawęczyńska 36, 03-772 Warszawa, Poland

Bibliografia

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