Overview
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, and features a development accessible to anyone who has studied basic graduate level real and complex analysis. The work traces how such operator-theoretic issues as boundedness, compactness, and cyclicity, when studied in the context of composition operators, evolve into questions about subordination, value-distribution, angular derivatives, iteration, and functional equations; and it carefully develops each of these classical topics.
- | Author: Joel H. Shapiro
- | Publisher: Springer
- | Publication Date: Aug 26, 1993
- | Number of Pages: 223 pages
- | Binding: Paperback or Softback
- | ISBN-10: 0387940677
- | ISBN-13: 9780387940670
