On class A operators

• Autorzy: Sungeun Jung , Eungil Ko , Mee-Jung Lee
• Języki publikacji: EN

Abstrakty

EN

We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.

Kategorie tematyczne

• 47A11: Local spectral properties
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 198
• Numer: 3
• Strony: 249-260

Daty

wydano

2010

Twórcy

autor

Sungeun Jung

• Department of Mathematics, Ewha Women's University, 120-750 Seoul, Korea

autor

Eungil Ko

• Department of Mathematics, Ewha Women's University, 120-750 Seoul, Korea

autor

Mee-Jung Lee

• Department of Mathematics, Ewha Women's University, 120-750 Seoul, Korea

Identyfikatory

DOI

10.4064/sm198-3-4