Composition operators and classical function theory (Univeristext) - Softcover

Joel H. Shapiro

Softcover

ISBN 10: 3540940677 ISBN 13: 9783540940678

Publisher: Springer-Verlag, 1993

Synopsis

The study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book provides a self-contained introduction to both the subject and its function-theoretic underpinnings. The development is geometrically motivated, and accessible to anyone who has studied basic graduate-level real and complex analysis. The work explores how operator-theoretic issues such as boundedness, compactness, and cyclicity evolve - in the setting of composition operators on the Hilbert space H2 into questions about subordination, value distribution, angular derivatives, iteration, and functional equations. Each of these classical topics is developed fully, and particular attention is paid to their common geometric heritage as descendants of the Schwarz Lemma.

Edition details

• Publisher: Springer-Verlag
• Publication date: 1993
• Language: English
• ISBN 10: 3540940677
• ISBN 13: 9783540940678
• Binding: Paperback
• Number of pages: 223