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Locally Solid Riesz Spaces with Applications to Economics (Mathematical Surveys and Monographs)

*- hardcover*

ISBN: 0821834088

[SR: 738540], Hardcover, [EAN: 9780821834084], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration. This monograph is the revised edition of the authors' book Locally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operators between Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces-- the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties. A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that the existence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques from the theory of topological Riesz spaces. At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presents complete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research., 3, Business & Money, 266117, Accounting, 2538, Biography & History, 2558, Business Culture, 2581, Economics, 2732, Education & Reference, 2604, Finance, 10020683011, Human Resources, 2624, Industries, 2638, Insurance, 2657, International, 2665, Investing, 2572, Job Hunting & Careers, 2675, Management & Leadership, 2698, Marketing & Sales, 2717, Personal Finance, 355561011, Processes & Infrastructure, 2650, Real Estate, 355562011, Skills, 2741, Small Business & Entrepreneurship, 7743000011, Taxation, 355578011, Women & Business, 1000, Subjects, 283155, Books, 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13905, Calculus, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491584, Economics, 491586, Economic Theory, 491590, Macroeconomics, 491592, Microeconomics, 468220, Business & Finance, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491544, Calculus, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Locally Solid Riesz Spaces with Applications to Economics (Mathematical Surveys and Monographs)

*- hardcover*

ISBN: 0821834088

[SR: 738540], Hardcover, [EAN: 9780821834084], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration. This monograph is the revised edition of the authors' book Locally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operators between Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces-- the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties. A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that the existence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques from the theory of topological Riesz spaces. At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presents complete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research., 3, Business & Money, 266117, Accounting, 2538, Biography & History, 2558, Business Culture, 2581, Economics, 2732, Education & Reference, 2604, Finance, 10020683011, Human Resources, 2624, Industries, 2638, Insurance, 2657, International, 2665, Investing, 2572, Job Hunting & Careers, 2675, Management & Leadership, 2698, Marketing & Sales, 2717, Personal Finance, 355561011, Processes & Infrastructure, 2650, Real Estate, 355562011, Skills, 2741, Small Business & Entrepreneurship, 7743000011, Taxation, 355578011, Women & Business, 1000, Subjects, 283155, Books, 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13905, Calculus, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491584, Economics, 491586, Economic Theory, 491590, Macroeconomics, 491592, Microeconomics, 468220, Business & Finance, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491544, Calculus, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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2003, ISBN: 9780821834084

ID: 1001004006476107

Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration.This monograph is the revised edition of the authors' book Locally Solid Ries..., Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration.This monograph is the revised edition of the authors' book Locally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operators between Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces - the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties.A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that the existence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques from the theory of topological Riesz spaces. At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presents complete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research.Taal: Engels; Afmetingen: 25x260x184 mm; Gewicht: 816,00 gram; Verschijningsdatum: oktober 2003; ISBN10: 0821834088; ISBN13: 9780821834084; , Engelstalig | Hardcover | 2003, Economie & Bedrijf, Economie, Exacte wetenschappen, Wiskunde & Statistiek, American Mathematical Society

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Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs)

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ISBN: 0821834088

[SR: 1976177], Gebundene Ausgabe, [EAN: 9780821834084], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, 356084011, Populäre Wirtschaftswissenschaften, 58173011, Business, Karriere & Geld, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56263011, Geometrie & Topologie, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56246011, Infinitesimalrechnung, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs)

*- hardcover*

2004, ISBN: 9780821834084

ID: 13058877731

Hard cover, Gebraucht, sehr guter Zustand, Former Library book. Great condition for a used book! Minimal wear. Shipped to over one million happy customers. Your purchase benefits world literacy!, [PU: American Mathematical Society(RI)]

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Title: | ## Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs) |

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** Details of the book - Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs)**

EAN (ISBN-13): 9780821834084

ISBN (ISBN-10): 0821834088

Hardcover

Publishing year: 2003

Publisher: American Mathematical Society

Book in our database since 11.03.2008 20:36:32

Book found last time on 03.03.2017 09:13:32

ISBN/EAN: 0821834088

ISBN - alternate spelling:

0-8218-3408-8, 978-0-8218-3408-4

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