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Ordered Structures and Applications

Ordered Structures and Applications
Author: Marcel de Jeu
Publisher: Birkhäuser
Total Pages: 507
Release: 2016-09-22
Genre: Mathematics
ISBN: 3319278428

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This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.


Ordered Algebraic Structures

Ordered Algebraic Structures
Author: Jorge Martínez
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2013-03-14
Genre: Mathematics
ISBN: 1475736274

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From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.


Fixed Point Theory in Ordered Sets and Applications

Fixed Point Theory in Ordered Sets and Applications
Author: Siegfried Carl
Publisher: Springer Science & Business Media
Total Pages: 482
Release: 2010-11-17
Genre: Mathematics
ISBN: 1441975853

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This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.


Sets and Ordered Structures

Sets and Ordered Structures
Author: Sergiu Rudeanu
Publisher: Bentham Science Publishers
Total Pages: 260
Release: 2012
Genre: Mathematics
ISBN: 1608053385

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This e-book presents several basic methods and results of order theory that are currently used in various branches of mathematics. It presents topics that require a broad explanation in a concise and attractive way. Readers will easily identify problems/t


Ordered Structures and Partitions

Ordered Structures and Partitions
Author: Richard P. Stanley
Publisher: American Mathematical Soc.
Total Pages: 114
Release: 1972
Genre: Combinatorial analysis
ISBN: 0821818198

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Mathematical Topics on Representations of Ordered Structures and Utility Theory

Mathematical Topics on Representations of Ordered Structures and Utility Theory
Author: Gianni Bosi
Publisher: Springer Nature
Total Pages: 376
Release: 2020-01-23
Genre: Technology & Engineering
ISBN: 3030342263

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This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.


Real Algebraic Geometry and Ordered Structures

Real Algebraic Geometry and Ordered Structures
Author: Charles N. Delzell
Publisher: American Mathematical Soc.
Total Pages: 320
Release: 2000
Genre: Mathematics
ISBN: 0821808044

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This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.


Lattices and Ordered Algebraic Structures

Lattices and Ordered Algebraic Structures
Author: T.S. Blyth
Publisher: Springer Science & Business Media
Total Pages: 311
Release: 2005-04-18
Genre: Mathematics
ISBN: 1852339055

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"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS


Ordered Porous Nanostructures and Applications

Ordered Porous Nanostructures and Applications
Author: Ralf B. Wehrspohn
Publisher: Springer Science & Business Media
Total Pages: 212
Release: 2006-06-14
Genre: Science
ISBN: 0387251936

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Reviews the most interesting materials on the market concerning self-ordering, including macroporous silicon, porous alumina, MCM41 and photonic bandgap.