- Tytuł:
- Operators on spaces of analytic functions
- Autorzy:
- Seddighi, K.
- Powiązania:
- https://bibliotekanauki.pl/articles/1291434.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
spaces of analytic functions
polynomially bounded
multipliers
spectral properties
cyclic subspace - Opis:
- Let $M_z$ be the operator of multiplication by z on a Banach space of functions analytic on a plane domain G. We say that $M_z$ is polynomially bounded if $∥M_p∥ ≤ C∥p∥_G$ for every polynomial p. We give necessary and sufficient conditions for $M_z$ to be polynomially bounded. We also characterize the finite-codimensional invariant subspaces and derive some spectral properties of the multiplication operator in case the underlying space is Hilbert.
- Źródło:
-
Studia Mathematica; 1994, 108, 1; 49-54
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł