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Homomorphisms Between Partially Ordered Vector Spaces And Some Related Topics
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Book Synopsis Homomorphisms Between Partially Ordered Vector Spaces and Some Related Topics by : Stylianos Hadji-Christophi
Download or read book Homomorphisms Between Partially Ordered Vector Spaces and Some Related Topics written by Stylianos Hadji-Christophi and published by . This book was released on 1978 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Homorphisms Between Partially Ordered Vector Spaces and Some Related Topics by : S. Hadji-. Christophi
Download or read book Homorphisms Between Partially Ordered Vector Spaces and Some Related Topics written by S. Hadji-. Christophi and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biadjoints of Riesz-like Homomorphisms Between Partially Ordered Vector Spaces by : Jamie Lee Summerville
Download or read book Biadjoints of Riesz-like Homomorphisms Between Partially Ordered Vector Spaces written by Jamie Lee Summerville and published by . This book was released on 1997 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partially Ordered Abelian Groups with Interpolation by : K. R. Goodearl
Download or read book Partially Ordered Abelian Groups with Interpolation written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2010-05-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A branch of ordered algebraic structures has grown, motivated by $K$-theoretic applications and mainly concerned with partially ordered abelian groups satisfying the Riesz interpolation property. This monograph is the first source in which the algebraic and analytic aspects of these interpolation groups have been integrated into a coherent framework for general reference. The author provides a solid foundation in the structure theory of interpolation groups and dimension groups (directed unperforated interpolation groups), with applications to ordered $K$-theory particularly in mind. Although interpolation groups are defined as purely algebraic structures, their development has been strongly influenced by functional analysis. This cross-cultural development has left interpolation groups somewhat estranged from both the algebraists, who may feel intimidated by compact convex sets, and the functional analysts, who may feel handicapped by the lack of scalars. This book, requiring only standard first-year graduate courses in algebra and functional analysis, aims to make the subject accessible to readers from both disciplines.High points of the development include the following: characterization of dimension groups as direct limits of finite products of copies of the integers; the double-dual representation of an interpolation group with order-unit via affine continuous real-valued functions on its state space; the structure of dimension groups complete with respect to the order-unit norm, as well as monotone sigma-complete dimension groups and dimension groups with countably infinite interpolation; and an introduction to the problem of classifying extensions of one dimension group by another. The book also includes a development of portions of the theory of compact convex sets and Choquet simplices, and an expository discussion of various applications of interpolation group theory to rings and $C DEGREES*$-algebras via ordered $K_0$. A discussion of some open problems in interpolation groups and dimension groups concludes the book.Of interest, of course, to researchers in ordered algebraic structures, the book will also be a valuable source for researchers seeking a background in interpolation groups and dimension groups for applications to such subjects as rings, operator algebras, topological Markov chains, positive polynomials, compact group actions, or other areas where ordered Grothendieck groups might be useful. This is a reprint of the 1986 original. (SUR
Book Synopsis Linear Representations of Partially Ordered Sets and Vector Space Categories by : Daniel Simson
Download or read book Linear Representations of Partially Ordered Sets and Vector Space Categories written by Daniel Simson and published by CRC Press. This book was released on 1993-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.
Download or read book Pre-Riesz Spaces written by Anke Kalauch and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces
Book Synopsis Ideals in Partially Ordered Vector Spaces by : John C. Eilers
Download or read book Ideals in Partially Ordered Vector Spaces written by John C. Eilers and published by . This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theses and Dissertations Accepted for the Degrees of M. Phil. and Ph.D. by : University of London
Download or read book Theses and Dissertations Accepted for the Degrees of M. Phil. and Ph.D. written by University of London and published by . This book was released on 1976 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subjects of Dissertations, Theses and Published Works Presented by Successful Candidates at Examinations for Higher Degrees by : University of London
Download or read book Subjects of Dissertations, Theses and Published Works Presented by Successful Candidates at Examinations for Higher Degrees written by University of London and published by . This book was released on 1979 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partially Ordered Vector Spaces and Operator Algebras ... by : John Winston Bunce
Download or read book Partially Ordered Vector Spaces and Operator Algebras ... written by John Winston Bunce and published by . This book was released on 1969 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representation Theory of Partially Ordered Vector Spaces by : William Henson Graves
Download or read book Representation Theory of Partially Ordered Vector Spaces written by William Henson Graves and published by . This book was released on 1968 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of Algebras and Related Topics by : Andrzej Skowroński
Download or read book Representations of Algebras and Related Topics written by Andrzej Skowroński and published by European Mathematical Society. This book was released on 2011 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.
Book Synopsis Vector Measures, Integration and Related Topics by : Guillermo Curbera
Download or read book Vector Measures, Integration and Related Topics written by Guillermo Curbera and published by Springer Science & Business Media. This book was released on 2010-02-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in thearea and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, andfunctional analysis. The material is of interest to experts, young researchers and postgraduate students.
Book Synopsis An Introduction to the Theory of Partially Ordered Linear Vector Spaces by : Silvio Aurora
Download or read book An Introduction to the Theory of Partially Ordered Linear Vector Spaces written by Silvio Aurora and published by . This book was released on 1946 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Partially Ordered Structures and Sheaves by : Francisco Miraglia
Download or read book An Introduction to Partially Ordered Structures and Sheaves written by Francisco Miraglia and published by Polimetrica s.a.s.. This book was released on 2006 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abelian Group Theory and Related Topics by : Rüdiger Göbel
Download or read book Abelian Group Theory and Related Topics written by Rüdiger Göbel and published by American Mathematical Soc.. This book was released on 1994 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together forty-seven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.
Download or read book Pre-Riesz Spaces written by Anke Kalauch and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces
