- Tytuł:
- Shifted model spaces and their orthogonal decompositions
- Autorzy:
-
Câmara, M. Cristina
Kliś-Garlicka, Kamila
Ptak, Marek - Powiązania:
- https://bibliotekanauki.pl/articles/29519749.pdf
- Data publikacji:
- 2024
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
model space
Toeplitz operator
Toeplitz kernel
truncated Toeplitz operator
nearly invariant
shift invariant - Opis:
- We generalize certain well known orthogonal decompositions of model spaces and obtain similar decompositions for the wider class of shifted model spaces, allowing us to establish conditions for near invariance of the latter with respect to certain operators which include, as a particular case, the backward shift S*. In doing so, we illustrate the usefulness of obtaining appropriate decompositions and, in connection with this, we prove some results on model spaces which are of independent interest. We show moreover how the invariance properties of the kernel of an operator T, with respect to another operator, follow from certain commutation relations between the two operators involved.
- Źródło:
-
Opuscula Mathematica; 2024, 44, 3; 341-357
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł