Composition Operators and Classical Function Theory (Universitext) - Softcover

Shapiro, Joel H.

Softcover

ISBN 10: 3540940677 ISBN 13: 9783540940678

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

Synopsis

The study of composition operators forges links between fundamental properties of linear operators and 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. 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 Berlin and Heidelberg GmbH & Co. K
• Publication date: 1993
• ISBN 10: 3540940677
• ISBN 13: 9783540940678
• Binding: Paperback
• Language: English
• Number of pages: 239