Ordered Structures And Applications
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| Author | : Marcel de Jeu |
| Publisher | : Birkhäuser |
| Total Pages | : 516 |
| Release | : 2016-09-22 |
| Genre | : Mathematics |
| ISBN | : 3319278428 |
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.
| Author | : Jorge Martínez |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 340 |
| Release | : 2002-08-31 |
| Genre | : Mathematics |
| ISBN | : 9781402007521 |
This publication surveys some of the disciplines within ordered algebraic structures and also contains chapters highlighting a broad spectrum of research interests. In all, this book represents a reasonably accurate cross-section of the state of the art in ordered algebraic structures.
| Author | : T.S. Blyth |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 311 |
| Release | : 2005-04-18 |
| Genre | : Mathematics |
| ISBN | : 1852339055 |
"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
| Author | : Richard P. Stanley |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 114 |
| Release | : 1972 |
| Genre | : Combinatorial analysis |
| ISBN | : 0821818198 |
| Author | : Siegfried Carl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 482 |
| Release | : 2010-11-17 |
| Genre | : Mathematics |
| ISBN | : 1441975853 |
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.
| Author | : Francisco Miraglia |
| Publisher | : Polimetrica s.a.s. |
| Total Pages | : 517 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 8876990356 |
| Author | : Gianni Bosi |
| Publisher | : Springer Nature |
| Total Pages | : 376 |
| Release | : 2020-01-23 |
| Genre | : Technology & Engineering |
| ISBN | : 3030342263 |
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.
| Author | : Charles N. Delzell |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 320 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 0821808044 |
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.
| Author | : Laszlo Fuchs |
| Publisher | : Courier Corporation |
| Total Pages | : 242 |
| Release | : 2014-03-05 |
| Genre | : Mathematics |
| ISBN | : 0486173607 |
This monograph by a distinguished mathematician constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The high-level, self-contained treatment features numerous problems. 1963 edition.
| Author | : Adam Clay |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 167 |
| Release | : 2016-11-16 |
| Genre | : Mathematics |
| ISBN | : 1470431068 |
This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.
