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New Classes Of Lp Spaces
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Book Synopsis New Classes of Lp-Spaces by : J. Bourgain
Download or read book New Classes of Lp-Spaces written by J. Bourgain and published by Springer. This book was released on 2006-11-14 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new LPspaces. Secondly, because certain constructions are based on new ideas and techniques with possibly other applications. Finally, especially in chapters four and five, crucial use is made of certain probabilistic results which have an independent importance.
Book Synopsis An Introductory Course in Lebesgue Spaces by : Rene Erlin Castillo
Download or read book An Introductory Course in Lebesgue Spaces written by Rene Erlin Castillo and published by Springer. This book was released on 2016-06-23 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.
Book Synopsis A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients by : L. G. Mikhailov
Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by L. G. Mikhailov and published by Walter de Gruyter GmbH & Co KG. This book was released on 1970-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".
Book Synopsis Handbook of the Geometry of Banach Spaces by :
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2001-08-15 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.
Book Synopsis A Ramble Through Probability by : Samopriya Basu
Download or read book A Ramble Through Probability written by Samopriya Basu and published by SIAM. This book was released on 2024-03-06 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure theory and measure-theoretic probability are fascinating subjects. Proofs describing profound ways to reason lead to results that are frequently startling, beautiful, and useful. Measure theory and probability also play roles in the development of pure and applied mathematics, statistics, engineering, physics, and finance. Indeed, it is difficult to overstate their importance in the quantitative disciplines. This book traces an eclectic path through the fundamentals of the topic to make the material accessible to a broad range of students. A Ramble through Probability: How I Learned to Stop Worrying and Love Measure Theory brings together the key elements and applications in a unified presentation aimed at developing intuition; contains an extensive collection of examples that illustrate, explain, and apply the theories; and is supplemented with videos containing commentary and explanations of select proofs on an ancillary website. This book is intended for graduate students in engineering, mathematics, science, and statistics. Researchers who need to use probability theory will also find it useful. It is appropriate for graduate-level courses on measure theory and/or probability theory.
Book Synopsis Isometries in Banach Spaces by : Richard J. Fleming
Download or read book Isometries in Banach Spaces written by Richard J. Fleming and published by CRC Press. This book was released on 2007-11-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.
Book Synopsis Problems and Recent Methods in Operator Theory by : Fernanda Botelho
Download or read book Problems and Recent Methods in Operator Theory written by Fernanda Botelho and published by American Mathematical Soc.. This book was released on 2017-04-18 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015. Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solid-state physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science. The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multi-circular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions. This volume gives a succinct overview of state-of-the-art techniques from operator theory as well as applications to classical problems and long-standing open questions.
Book Synopsis Banach Spaces and Descriptive Set Theory: Selected Topics by : Pandelis Dodos
Download or read book Banach Spaces and Descriptive Set Theory: Selected Topics written by Pandelis Dodos and published by Springer. This book was released on 2010-04-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we ?nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC? We will consider quite classical properties of Banach spaces, such as “- ing re?exive,” “having separable dual,” “not containing an isomorphic copy of c ,” “being non-universal,” etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and satis?es the requirements imposed above.
Book Synopsis Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory by : Marius Junge
Download or read book Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory written by Marius Junge and published by American Mathematical Soc.. This book was released on 2010 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.
Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République Socialiste de Roumanie by :
Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République Socialiste de Roumanie written by and published by . This book was released on 1982 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Operator Algebras Generated by Commuting Projections: A Vector Measure Approach by : Werner Ricker
Download or read book Operator Algebras Generated by Commuting Projections: A Vector Measure Approach written by Werner Ricker and published by Springer. This book was released on 2006-11-14 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field.
Book Synopsis An Invitation to Operator Theory by : Yuri A. Abramovich
Download or read book An Invitation to Operator Theory written by Yuri A. Abramovich and published by American Mathematical Soc.. This book was released on 2002 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices using their topological and order structures and properties. Abramovich and Aliprantis give a unique presentation that includes many new and very recent developments in operator theory and also draws together results which are spread over the vast literature. For instance, invariant subspaces of positive operators and the Daugavet equation arepresented in monograph form for the first time. The authors keep the discussion self-contained and use exercises to achieve this goal. The book contains over 600 exercises to help students master the material developed in the text. The exercises are of varying degrees of difficulty and play an importantand useful role in the exposition. They help to free the proofs of the main results of some technical details but provide students with accurate and complete accounts of how such details ought to be worked out. The exercises also contain a considerable amount of additional material that includes many well-known results whose proofs are not readily available elsewhere. The companion volume, Problems in Operator Theory, also by Abramovich and Aliprantis, is available from the AMS as Volume 51 inthe Graduate Studies in Mathematics series, and it contains complete solutions to all exercises in An Invitation to Operator Theory. The solutions demonstrate explicitly technical details in the proofs of many results in operator theory, providing the reader with rigorous and complete accounts ofsuch details. Finally, the book offers a considerable amount of additional material and further developments. By adding extra material to many exercises, the authors have managed to keep the presentation as self-contained as possible. The best way of learning mathematics is by doing mathematics, and the book Problems in Operator Theory will help achieve this goal. Prerequisites to each book are the standard introductory graduate courses in real analysis, general topology, measure theory, andfunctional analysis. An Invitation to Operator Theory is suitable for graduate or advanced courses in operator theory, real analysis, integration theory, measure theory, function theory, and functional analysis. Problems in Operator Theory is a very useful supplementary text in the above areas. Bothbooks will be of great interest to researchers and students in mathematics, as well as in physics, economics, finance, engineering, and other related areas, and will make an indispensable reference tool.
Book Synopsis Real Analysis and Probability by : R. M. Dudley
Download or read book Real Analysis and Probability written by R. M. Dudley and published by Cambridge University Press. This book was released on 2002-10-14 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text offers a clear exposition of modern probability theory.
Book Synopsis Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces by : L.V. Kantorovich
Download or read book Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces written by L.V. Kantorovich and published by CRC Press. This book was released on 1996-02-19 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space".
Book Synopsis Symmetric Function Spaces on Atomless Probability Spaces by : Anatoliĭ M. Plichko
Download or read book Symmetric Function Spaces on Atomless Probability Spaces written by Anatoliĭ M. Plichko and published by . This book was released on 1990 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry in the Large by : Heinz Hopf
Download or read book Differential Geometry in the Large written by Heinz Hopf and published by Springer. This book was released on 2013-11-11 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes consist of two parts: 1) Selected Topics in Geometry, New York University 1946, Notes by Peter Lax. 2) Lectures on Differential Geometry in the Large, Stanford University 1956, Notes by J. W. Gray. They are reproduced here with no essential change. Heinz Hopf was a mathematician who recognized important mathema tical ideas and new mathematical phenomena through special cases. In the simplest background the central idea or the difficulty of a problem usually becomes crystal clear. Doing geometry in this fashion is a joy. Hopf's great insight allows this approach to lead to serious ma thematics, for most of the topics in these notes have become the star ting-points of important further developments. I will try to mention a few. It is clear from these notes that Hopf laid the emphasis on poly hedral differential geometry. Most of the results in smooth differen tial geometry have polyhedral counterparts, whose understanding is both important and challenging. Among recent works I wish to mention those of Robert Connelly on rigidity, which is very much in the spirit of these notes (cf. R. Connelly, Conjectures and open questions in ri gidity, Proceedings of International Congress of Mathematicians, Hel sinki 1978, vol. 1, 407-414 ) • A theory of area and volume of rectilinear'polyhedra based on de compositions originated with Bolyai and Gauss.
Download or read book Harmonic Maps written by U. R. J. Knill and published by Springer. This book was released on 2006-11-15 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
