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Studies on composition operators : proceedings of the Rocky Mountain Mathematics Consortium, July 8-19, 1996, University of Wyoming / Farhad Jafari [and three others], editors.
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society) ; 213.
- Contemporary mathematics, 0271-4132 ; 213
- Language:
- English
- Subjects (All):
- Composition operators--Congresses.
- Composition operators.
- Physical Description:
- 1 online resource (266 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1998]
- Language Note:
- English
- Summary:
- This book reflects the proceedings of the 1996 Rocky Mountain Mathematics Consortium conference on "Composition Operators on Spaces of Analytic Functions" held at the University of Wyoming. The readers will find here a collection of high-quality research and expository articles on composition operators in one and several variables. The book highlights open questions and new advances in the classical areas and promotes topics which are left largely untreated in the existing texts. In the past two decades, the study of composition operators has experienced tremendous growth. Many connections between the study of these operators on various function spaces and other branches of analysis have been established. Advances in establishing criteria for membership in different operator classes have led to progress in the study of the spectra, adjoints, and iterates of these operators. More recently, connections between these operators and the study of the invariant subspace problem, functional equations, and dynamical systems have been exploited.
- Contents:
- ""Contents""; ""Preface""; ""Convergence of the Koenigs sequence""; ""Generating the commutant of a composition operator""; ""Some problems on composition operators""; ""Order bounded and p-summing composition operators""; ""Algebraic and essentially algebraic composition operators on the ball or polydisk""; ""Composition operators on spaces of Cauchy transforms""; ""Isometrically equivalent composition operators""; ""Kernel functions and composition operators in weighted Bergman spaces""; ""A compact composition operator that is not Hilbert-Schmidt""
- ""Semigroups of composition operators on spaces of analytic functions, a review""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7805-0
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