Download or read book Topological Structure and Banach Ideals of Composition Operators written by Thomas E. Goebeler and published by . This book was released on 1999 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Composition Operators on Function Spaces written by R.K. Singh and published by Elsevier. This book was released on 1993-11-03 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Topological Structures on Sets of Composition Operators written by Carl Toews and published by . This book was released on 2002 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Absolutely Summing Operators written by Joe Diestel and published by Cambridge University Press. This book was released on 1995-04-27 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the beginning graduate student with an account of p-summing and related operators.
Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong and published by Routledge. This book was released on 2019-01-25 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.
Download or read book General Topology and Its Relations to Modern Analysis and Algebra IV written by J. Novak and published by Springer. This book was released on 2006-11-15 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Course in Commutative Banach Algebras written by Eberhard Kaniuth and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms,there arethree types ofthem:algebrasofboundedlinear operators on Banach spaces with composition and the operator norm, al- bras consisting of bounded continuous functions on topological spaces with pointwise product and the uniform norm, and algebrasof integrable functions on locally compact groups with convolution as multiplication. These all play a key role in modern analysis. Much of operator theory is best approached from a Banach algebra point of view and many questions in complex analysis (such as approximation by polynomials or rational functions in speci?c - mains) are best understood within the framework of Banach algebras. Also, the study of a locally compact Abelian group is closely related to the study 1 of the group algebra L (G). There exist a rich literature and excellent texts on each single class of Banach algebras, notably on uniform algebras and on operator algebras. This work is intended as a textbook which provides a thorough introduction to the theory of commutative Banach algebras and stresses the applications to commutative harmonic analysis while also touching on uniform algebras. In this sense and purpose the book resembles Larsen’s classical text [75] which shares many themes and has been a valuable resource. However, for advanced graduate students and researchers I have covered several topics which have not been published in books before, including some journal articles.
Download or read book Locally Convex Spaces written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book grew out of several courses which I have taught at the University of Zürich and at the University of Maryland during the past seven years. It is primarily intended to be a systematic text on locally convex spaces at the level of a student who has some familiarity with general topology and basic measure theory. However, since much of the material is of fairly recent origin and partly appears here for the first time in a book, and also since some well-known material has been given a not so well-known treatment, I hope that this book might prove useful even to more advanced readers. And in addition I hope that the selection ofmaterial marks a sufficient set-offfrom the treatments in e.g. N. Bourbaki [4], [5], R.E. Edwards [1], K. Floret-J. Wloka [1], H.G. Garnir-M. De Wilde-J. Schmets [1], AGrothendieck [13], H. Heuser [1], J. Horvath [1], J.L. Kelley-I. Namioka et al. [1], G. Köthe [7], [10], A P. Robertson W. Robertson [1], W. Rudin [2], H.H. Schaefer [1], F. Treves [l], A Wilansky [1]. A few sentences should be said about the organization of the book. It consists of 21 chapters which are grouped into three parts. Each chapter splits into several sections. Chapters, sections, and the statements therein are enumerated in consecutive fashion.
Download or read book Some Topological and Geometrical Structures in Banach Spaces written by Nassif Ghoussoub and published by American Mathematical Soc.. This book was released on 1987-12-31 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Ideal Theory in Banach and Topological Algebras written by Wiesław Żelazko and published by . This book was released on 1984 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Composition Operators and Classical Function Theory written by Joel H. Shapiro and published by . This book was released on 1993 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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 - in the setting of composition operators on the Hilbert space H2 into questions about subordination, value distribution, angular derivatives, iteration, and functional equations. Each of these classical topics is developed fully, and particular attention is paid to their common geometric heritage as descendants of the Schwarz Lemma.
Download or read book Operator Theory written by William Arveson and published by . This book was released on 1990 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tensor Norms and Operator Ideals written by A. Defant and published by Elsevier. This book was released on 1992-11-26 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.
Download or read book Jumping Numbers of a Simple Complete Ideal in a Two Dimensional Regular Local Ring written by Tarmo Järvilehto and published by American Mathematical Soc.. This book was released on 2011 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal. In this manuscript the author gives an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, he obtains a formula for the jumping numbers of an analytically irreducible plane curve. He then shows that the jumping numbers determine the equisingularity class of the curve.
Download or read book Topological Vector Spaces and Algebras written by Lucien Waelbroeck and published by Lecture Notes in Mathematics. This book was released on 1971-12-16 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2003 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
