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Convexity Theory and its Applications in Functional Analysis

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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 692/5 ( reviews)

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Book Synopsis Convexity Theory and its Applications in Functional Analysis by : L. Asimow

Download or read book Convexity Theory and its Applications in Functional Analysis written by L. Asimow. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: Convexity Theory Appl Functional Analysis

Convex Functional Analysis

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Release : 2006-03-30
Genre : Science
Kind : eBook
Book Rating : 571/5 ( reviews)

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Book Synopsis Convex Functional Analysis by : Andrew J. Kurdila

Download or read book Convex Functional Analysis written by Andrew J. Kurdila. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.

Strict Convexity and Complex Strict Convexity

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Release : 2017-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 333/5 ( reviews)

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Book Synopsis Strict Convexity and Complex Strict Convexity by : Vasile I. Istratescu

Download or read book Strict Convexity and Complex Strict Convexity written by Vasile I. Istratescu. This book was released on 2017-10-19. Available in PDF, EPUB and Kindle. Book excerpt: This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format.After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject.Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces.

Integral Representation Theory

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Author :
Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 200/5 ( reviews)

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Book Synopsis Integral Representation Theory by : Jaroslav Lukeš

Download or read book Integral Representation Theory written by Jaroslav Lukeš. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications

Convex Functions and Their Applications

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Release : 2018-06-08
Genre : Mathematics
Kind : eBook
Book Rating : 378/5 ( reviews)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu. This book was released on 2018-06-08. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

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