- Tytuł:
- On an estimate for the norm of a function of a quasihermitian operator
- Autorzy:
- Gil, M. I.
- Powiązania:
- https://bibliotekanauki.pl/articles/1293113.pdf
- Data publikacji:
- 1992
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
functions of linear operators
estimation of norms - Opis:
- Let A be a closed linear operator acting in a separable Hilbert space. Denote by co(A) the closed convex hull of the spectrum of A. An estimate for the norm of f(A) is obtained under the following conditions: f is a holomorphic function in a neighbourhood of co(A), and for some integer p the operator $A^p - (A*)^p$ is Hilbert-Schmidt. The estimate improves one by I. Gelfand and G. Shilov.
- Źródło:
-
Studia Mathematica; 1992, 103, 1; 17-24
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł