The Putnam-Fuglede property for paranormal and *-paranormal operators

• Autorzy: Pagacz P.
• Języki publikacji: EN

Abstrakty

EN

An operator T ∈ B(H) is said to have the Putnam-Fuglede commutativity property (PF property for short) if T*X = XJ for any X ∈ B(K,H) and any isometry J ∈ B(K) such that TX = XJ*. The main purpose of this paper is to examine if paranormal operators have the PF property. We prove that k*-paranormal operators have the PF property. Furthermore, we give an example of a paranormal without the PF property.

Słowa kluczowe

EN

power-bounded operators; paranormal operators; *-paranormal operators; k-paranormal operators; k*-paranormal operators; Putnam-Fuglede theorem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 3
• Strony: 565--574
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Pagacz P.

• Uniwersytet Jagiellonski Instytut Matematyki ul. Łojasiewicza 6, PL-30348 Kraków, Poland

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