Backward extensions of hyperexpansive operators

• Autorzy: Zenon J. Jabłoński , Il Bong Jung , Jan Stochel
• Języki publikacji: EN

Abstrakty

EN

The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 44A60: Moment problems
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 173
• Numer: 3
• Strony: 233-257

Daty

wydano

2006

Twórcy

autor

Zenon J. Jabłoński

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Il Bong Jung

• Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701 Korea

autor

Jan Stochel

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/sm173-3-2