This volume of the "Mathematics Studies" series presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics. After an introduction, the book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact with the theory of analytic functions of complex variables. Chapter IV presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. In the last chapter of the book some applications of composition operators in isometries, ergodic theory and dynamical systems are presented. An interesting interplay of algebra, topology, and analysis is displayed.
This comprehensive and up-to-date study of composition operators on different function spaces should appeal to research workers in functional analysis and operator theory, postgraduate students of mathematics and statistics, as well as to physicists and engineers.
- ISBN10 0444815937
- ISBN13 9780444815934
- Publish Date November 1993 (first published 1 January 1993)
- Publish Status Out of Print
- Out of Print 17 October 2009
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint Elsevier Science Ltd
- Format Hardcover
- Pages 326
- Language English