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2 of Dirichlet series. These results are due to H. Queffélec and
the author.
The third part is devoted to compactness connected with fixed points in the
setting of H2 and 2. These results are due to H. Queffélec and the author.
| | Catherine FINET, Numerical Ranges of Some Composition Operators, January 26, 2006 (16 pages). |
| This paper is a short survey on the numerical range
of some composition operators. The first part is devoted to composition operators
on the Hilbert Hardy space H2 on the unit disk. The results are due to
P. Bourdon, J. Shapiro and V. Matache.
In the second part we study the numerical range of composition operators on
the Hilbert space 2 of Dirichlet series. These results are due to H. Queffélec and
the author.
The third part is devoted to compactness connected with fixed points in the
setting of H2 and | |
| [ PDF] (270K) |