- Tytuł:
- The Putnam-Fuglede property for paranormal and *-paranormal operators
- Autorzy:
- Pagacz, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/254725.pdf
- Data publikacji:
- 2013
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
power-bounded operators
paranormal operators
*-paranormal operators
k-paranormal operators
k*-paranormal operators
Putnam-Fuglede theorem - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2013, 33, 3; 565-574
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł