Numerical ranges of some composition operators.

Catherine Finet

RACSAM (2006)

  • Volume: 100, Issue: 1-2, page 127-135
  • ISSN: 1578-7303

Abstract

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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 H2 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 H2. These results are due to H. Queffélec and the author.

How to cite

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Finet, Catherine. "Numerical ranges of some composition operators.." RACSAM 100.1-2 (2006): 127-135. <http://eudml.org/doc/41646>.

@article{Finet2006,
abstract = {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 H2 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 H2. These results are due to H. Queffélec and the author.},
author = {Finet, Catherine},
journal = {RACSAM},
keywords = {numerical range; composition operators; Hardy-Dirichlet spaces},
language = {eng},
number = {1-2},
pages = {127-135},
title = {Numerical ranges of some composition operators.},
url = {http://eudml.org/doc/41646},
volume = {100},
year = {2006},
}

TY - JOUR
AU - Finet, Catherine
TI - Numerical ranges of some composition operators.
JO - RACSAM
PY - 2006
VL - 100
IS - 1-2
SP - 127
EP - 135
AB - 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 H2 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 H2. These results are due to H. Queffélec and the author.
LA - eng
KW - numerical range; composition operators; Hardy-Dirichlet spaces
UR - http://eudml.org/doc/41646
ER -

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