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Author : L. M. Abramov
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (227 download)
Download or read book 10 papers on functional analysis and measure theory written by L. M. Abramov and published by . This book was released on 1966 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896273
Total Pages : 278 pages
Book Rating : 4.8/5 (962 download)
Download or read book Ten Papers on Functional Analysis and Measure Theory written by and published by American Mathematical Soc.. This book was released on 1966-12-31 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Kadets
Publisher : Springer
ISBN 13 : 3319920049
Total Pages : 553 pages
Book Rating : 4.3/5 (199 download)
Download or read book A Course in Functional Analysis and Measure Theory written by Vladimir Kadets and published by Springer. This book was released on 2018-07-10 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.
Author : Leonid Mikhaĭlovich Abramov
Publisher :
ISBN 13 : 9781470432607
Total Pages : 268 pages
Book Rating : 4.4/5 (326 download)
Download or read book Ten Papers on Functional Analysis and Measure Theory written by Leonid Mikhaĭlovich Abramov and published by . This book was released on 1966 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nik Weaver
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814508568
Total Pages : 202 pages
Book Rating : 4.5/5 (85 download)
Download or read book Measure Theory and Functional Analysis written by Nik Weaver and published by World Scientific Publishing Company Incorporated. This book was released on 2013 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.
Author : Piermarco Cannarsa
Publisher : Springer
ISBN 13 : 3319170198
Total Pages : 314 pages
Book Rating : 4.3/5 (191 download)
Download or read book Introduction to Measure Theory and Functional Analysis written by Piermarco Cannarsa and published by Springer. This book was released on 2015-07-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (96 download)
Download or read book Translations, Ten Papers on Functional Analysis and Measure Theory written by American Mathematical Society and published by . This book was released on 1966 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Buntinas
Publisher : Cambridge University Press
ISBN 13 : 1107034140
Total Pages : 471 pages
Book Rating : 4.1/5 (7 download)
Download or read book Classical and Discrete Functional Analysis with Measure Theory written by Martin Buntinas and published by Cambridge University Press. This book was released on 2022-01-20 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced undergraduate/beginning graduate text covers measure theory and discrete aspects of functional analysis, with 760 exercises.
Author : V. A. Rochlin
Publisher :
ISBN 13 :
Total Pages : 541 pages
Book Rating : 4.:/5 (31 download)
Download or read book On the Fundamental Ideas of Measure Theory written by V. A. Rochlin and published by . This book was released on 1980 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sheldon Axler
Publisher : Springer Nature
ISBN 13 : 3030331431
Total Pages : 430 pages
Book Rating : 4.0/5 (33 download)
Download or read book Measure, Integration & Real Analysis written by Sheldon Axler and published by Springer Nature. This book was released on 2019-11-29 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1461208971
Total Pages : 591 pages
Book Rating : 4.4/5 (612 download)
Download or read book Real and Functional Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.
Author : Barry Simon
Publisher : American Mathematical Soc.
ISBN 13 : 1470410990
Total Pages : 811 pages
Book Rating : 4.4/5 (74 download)
Download or read book Real Analysis written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (11 download)
Download or read book Functional Analysis and Measure Theory written by American Mathematical Society and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society Staff
Publisher :
ISBN 13 : 9780608010069
Total Pages : 554 pages
Book Rating : 4.0/5 (1 download)
Download or read book Functional Analysis and Measure Theory written by American Mathematical Society Staff and published by . This book was released on 1962-01-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manfred Einsiedler
Publisher : Springer
ISBN 13 : 3319585401
Total Pages : 626 pages
Book Rating : 4.3/5 (195 download)
Download or read book Functional Analysis, Spectral Theory, and Applications written by Manfred Einsiedler and published by Springer. This book was released on 2017-11-21 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.
Author : John B Conway
Publisher : Springer
ISBN 13 : 1475743831
Total Pages : 416 pages
Book Rating : 4.4/5 (757 download)
Download or read book A Course in Functional Analysis written by John B Conway and published by Springer. This book was released on 2019-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (18 download)
Download or read book Translations, Series 2, Volume 49 written by American Mathematical Society and published by . This book was released on 1966 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
