Topics In Functional Analysis And Algebra
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Topics In Functional Analysis And Algebra
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Author : Bernard Russo
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-25
Topics In Functional Analysis And Algebra written by Bernard Russo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-25 with Mathematics categories.
The USA-Uzbekistan Conference on Analysis and Mathematical Physics, focusing on contemporary issues in dynamical systems, mathematical physics, operator algebras, and several complex variables, was hosted by California State University, Fullerton, from May 20–23, 2014. The main objective of the conference was to facilitate scientific communication and collaboration between mathematicians from the USA and Uzbekistan. This volume contains the proceedings of the Special Session on Algebra and Functional Analysis. The theory of operator algebras is the unified theme for many papers in this volume. Out of four extensive survey papers, two cover problems related to derivation of various algebras of functions. The other two surveys are on classification of Leibniz algebras and on evolution algebras. The sixteen research articles are devoted to certain analytic topics, such as minimal projections with respect to numerical radius, functional equations and discontinuous polynomials, Fourier inversion for distributions, Schrödinger operators, convexity and dynamical systems.
Functional Analysis And Operator Algebras
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Author : Kenneth R. Davidson
language : en
Publisher: Springer Nature
Release Date : 2025-05-11
Functional Analysis And Operator Algebras written by Kenneth R. Davidson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-11 with Mathematics categories.
This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras. In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors. Part II covers the fundamentals of Banach algebras and C*-algebras, followed by more advanced material on C* and von Neumann algebras. This section is suitable for use in graduate courses, with instructors having the option to select specific topics. Part III explores a range of important topics in operator theory and operator algebras. These include $H^p$ spaces, isometries and Toeplitz operators, nest algebras, dilation theory, applications to various classes of nonself-adjoint operator algebras, and noncommutative convexity and Choquet theory. This material is suitable for graduate courses and learning seminars, offering instructors flexibility in selecting topics.
A Course In Functional Analysis
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Author : John B Conway
language : en
Publisher: Springer
Release Date : 2019-03-09
A Course In Functional Analysis written by John B Conway and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-09 with Mathematics categories.
Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.
Topics In Functional Analysis And Algebra
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Author : Bernard Russo
language : en
Publisher:
Release Date : 2016
Topics In Functional Analysis And Algebra written by Bernard Russo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Banach algebras categories.
Elements Of Functional Analysis
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Author : Francis Hirsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elements Of Functional Analysis written by Francis Hirsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.
University Of Michigan Official Publication
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Author :
language : en
Publisher: UM Libraries
Release Date : 1959
University Of Michigan Official Publication written by and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Education, Higher categories.
Catalogue Of The University Of Michigan
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Author : University of Michigan
language : en
Publisher:
Release Date : 1967
Catalogue Of The University Of Michigan written by University of Michigan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Announcements for the following year included in some vols.
Notes On Functional Analysis
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Author : Rajendra Bhatia
language : en
Publisher: Springer
Release Date : 2009-01-15
Notes On Functional Analysis written by Rajendra Bhatia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-15 with Mathematics categories.
These notes are a record of a one semester course on Functional Analysis given by the author to second year Master of Statistics students at the Indian Statistical Institute, New Delhi. Students taking this course have a strong background in real analysis, linear algebra, measure theory and probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The book is organised as twenty six lectures, each corresponding to a ninety minute class session. This may be helpful to teachers planning a course on this topic. Well prepared students can read it on their own.
Functional Analysis
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Author : S. Kesavan
language : en
Publisher: Springer
Release Date : 2009-01-15
Functional Analysis written by S. Kesavan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-15 with Mathematics categories.
The material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career in the applications of mathematics. The book includes a chapter on weak and weak topologies and their applications to the notions of reflexivity, separability and uniform convexity. The chapter on the Lebesgue spaces also presents the theory of one of the simplest classes of Sobolev spaces. The book includes a chapter on compact operators and the spectral theory for compact self-adjoint operators on a Hilbert space. Each chapter has large collection of exercises at the end. These illustrate the results of the text, show the optimality of the hypotheses of various theorems via examples or counterexamples, or develop simple versions of theories not elaborated upon in the text.
Lectures And Exercises On Functional Analysis
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Author : Александр Яковлевич Хелемский
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Lectures And Exercises On Functional Analysis written by Александр Яковлевич Хелемский and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.