Operators with absolute continuity properties: an application to quasinormality

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

Abstrakty

EN

An absolute continuity approach to quasinormality which relates the operator in question to the spectral measure of its modulus is developed. Algebraic characterizations of some classes of operators that emerge in this context are found. Various examples and counterexamples illustrating the concepts of the paper are constructed by using weighted shifts on directed trees. Generalizations of these results that cover the case of q-quasinormal operators are established.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 215
• Numer: 1
• Strony: 11-30

Daty

wydano

2013

Twórcy

autor

Zenon Jan Jabłoński

• Instytut Matematyki, Uniwersytet Jagielloński, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Il Bong Jung

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

autor

Jan Stochel

• Instytut Matematyki, Uniwersytet Jagielloński, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/sm215-1-2