Exponentials of normal operators and commutativity of operators: a new approach

• Autorzy: Mohammed Hichem Mortad
• Języki publikacji: EN

Abstrakty

EN

We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.

Kategorie tematyczne

• 47A60: Functional calculus
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 125
• Numer: 1
• Strony: 1-6

Daty

wydano

2011

Twórcy

autor

Mohammed Hichem Mortad

• Département de Mathématiques, Université d'Oran (Es-Senia), BP 1524, El Menouar, Oran 31000, Algeria
• BP 7085 Es-Seddikia, Oran 31013, Algeria

Identyfikatory

DOI

10.4064/cm125-1-1