Abstract Duality Pairs In Analysis

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Abstract Duality Pairs In Analysis

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Author : Charles W Swartz
language : en
Publisher: World Scientific
Release Date : 2017-12-20

Abstract Duality Pairs In Analysis written by Charles W Swartz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-20 with Mathematics categories.

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis.

Abstract Duality Pairs In Analysis

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Author : Charles Swartz
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017

Abstract Duality Pairs In Analysis written by Charles Swartz and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis.

Functional Analysis In China

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Author : Bingren Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Functional Analysis In China written by Bingren Li 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.

Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years. This authoritative collection is complementary to Western studies in this field, and seeks to summarise and introduce the historical progress of the development of Functional Analysis in China from the 1940s to the present. A broad range of topics is covered, such as nonlinear functional analysis, linear operator theory, theory of operator algebras, applications including the solvability of some partial differential equations, and special spaces that contain Banach spaces and topological vector spaces. Some of these papers have made a significant impact on the mathematical community worldwide. Audience: This volume will be of interest to mathematicians, physicists and engineers at postgraduate level.

Journal Of Analysis And Its Application

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Author :
language : en
Publisher:
Release Date : 2005

Journal Of Analysis And Its Application written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematical analysis categories.

Convex Analysis And Minimization Algorithms Ii

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Author : Jean-Baptiste Hiriart-Urruty
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Convex Analysis And Minimization Algorithms Ii written by Jean-Baptiste Hiriart-Urruty 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 2013-03-14 with Business & Economics categories.

From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"

Nuclear Science Abstracts

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Author :
language : en
Publisher:
Release Date : 1976

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Nuclear energy categories.

Optimization Of Complex Systems Theory Models Algorithms And Applications

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Author : Hoai An Le Thi
language : en
Publisher: Springer
Release Date : 2019-06-15

Optimization Of Complex Systems Theory Models Algorithms And Applications written by Hoai An Le Thi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-15 with Computers categories.

This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

Nuclear Science Abstracts

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Author :
language : en
Publisher:
Release Date : 1972-04

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-04 with Nuclear energy categories.

Sociological Abstracts

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Author : Leo P. Chall
language : en
Publisher:
Release Date : 2003

Sociological Abstracts written by Leo P. Chall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Sociology categories.

CSA Sociological Abstracts abstracts and indexes the international literature in sociology and related disciplines in the social and behavioral sciences. The database provides abstracts of journal articles and citations to book reviews drawn from over 1,800+ serials publications, and also provides abstracts of books, book chapters, dissertations, and conference papers.

Advanced Polytopic Projects

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Author : Octavian Iordache
language : en
Publisher: Springer
Release Date : 2018-10-08

Advanced Polytopic Projects written by Octavian Iordache and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Technology & Engineering categories.

This book focuses on new developments in polytopic projects, particularly on implementation domains and case studies, as well as high-dimensional methodology. Polytopic projects are based on a general reference architecture inspired and shared by the functional organization of organisms and enterprises as informational and cognitive systems, the scientific and engineering methodology and the operational structure of existing self-evolvable and self-sustainable systems.