Studies of Geometric Models of Composition Operators
Author : Hong Xian
Publisher :
Page : 100 pages
File Size : 48,62 MB
Release : 1994
Category :
ISBN :
Author : Hong Xian
Publisher :
Page : 100 pages
File Size : 48,62 MB
Release : 1994
Category :
ISBN :
Author : Rocky Mountain Mathematics Consortium
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 22,48 MB
Release : 1998
Category : Mathematics
ISBN : 0821807684
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.
Author : Joel H. Shapiro
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 30,1 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461208874
The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this.
Author : R.K. Singh
Publisher : Elsevier
Page : 327 pages
File Size : 34,53 MB
Release : 1993-11-03
Category : Mathematics
ISBN : 0080872905
This volume of the Mathematics Studies 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, post-graduate students of mathematics and statistics, as well as to physicists and engineers.
Author : Carl C. Cowen, Jr.
Publisher : Routledge
Page : 401 pages
File Size : 49,2 MB
Release : 2019-03-04
Category : Mathematics
ISBN : 1351459147
The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
Author : Vera Pawlowsky-Glahn
Publisher : John Wiley & Sons
Page : 274 pages
File Size : 26,24 MB
Release : 2015-03-30
Category : Mathematics
ISBN : 1118443063
Modeling and Analysis of Compositional Data presents a practical and comprehensive introduction to the analysis of compositional data along with numerous examples to illustrate both theory and application of each method. Based upon short courses delivered by the authors, it provides a complete and current compendium of fundamental to advanced methodologies along with exercises at the end of each chapter to improve understanding, as well as data and a solutions manual which is available on an accompanying website. Complementing Pawlowsky-Glahn’s earlier collective text that provides an overview of the state-of-the-art in this field, Modeling and Analysis of Compositional Data fills a gap in the literature for a much-needed manual for teaching, self learning or consulting.
Author : Gary R. Jensen
Publisher : American Mathematical Soc.
Page : 162 pages
File Size : 41,39 MB
Release : 2006
Category : History
ISBN : 082183603X
Articles in this book are based on talks given at the conference commemorating the 150th anniversary of the Washington University in St. Louis. The articles cover a wide range of important topics in mathematics, and are written by former and present faculty or graduates of the Washington University Department of Mathematics. The volume is prefaced by a brief history of the Washington University Department of Mathematics, a roster of those who received the PhD degree from the department, and a list of the Washington University Department of Mathematics faculty.
Author : Stephan Ramon Garcia
Publisher : Cambridge University Press
Page : 339 pages
File Size : 45,17 MB
Release : 2016-05-17
Category : Mathematics
ISBN : 1107108748
A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.
Author : Reinhard Riedl
Publisher :
Page : 100 pages
File Size : 27,80 MB
Release : 1994
Category : Analytic functions
ISBN :
Author : J Noguchi
Publisher : World Scientific
Page : 738 pages
File Size : 24,58 MB
Release : 1996-05-09
Category :
ISBN : 9814548596
This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades. Through this volume one can see an active field providing insight into other fields like algebraic geometry, dynamical systems and partial differential equations.