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Locally Solid Riesz Spaces with Applications to Economics - Charalambos D. Aliprantis; Owen Burkinshaw

(*)

Charalambos D. Aliprantis; Owen Burkinshaw:
Locally Solid Riesz Spaces with Applications to Economics - edition reliée, livre de poche

2004, ISBN: 9780821834084

Buch, Hardcover, 2nd Revised edition, 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… Plus…

Buch, Hardcover, 2nd Revised edition, 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. [PU: American Mathematical Society], Seiten: 344, American Mathematical Society, 2004<

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Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105) - Aliprantis, Charalambos D. Burkinshaw, Owen

(*)

Aliprantis, Charalambos D. Burkinshaw, Owen:
Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105) - edition reliée, livre de poche

2003, ISBN: 9780821834084

American Mathematical Society, Gebundene Ausgabe, Auflage: 2, 344 Seiten, Publiziert: 2003-11-01T00:00:01Z, Produktgruppe: Buch, 1.78 kg, Verkaufsrang: 542, Wirtschaftslehre, Wirtschaft, … Plus…

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Mathematics foreign book Locally solid Riesz spaces with applications to economics 2nd Edition Mathematical surveys and monographs 105 - Charalambos D. Aliprantis, Owen Burkinshaw

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Charalambos D. Aliprantis, Owen Burkinshaw:
Mathematics foreign book Locally solid Riesz spaces with applications to economics 2nd Edition Mathematical surveys and monographs 105 - Livres de poche

2003, ISBN: 9780821834084

American Mathematical Society, 2003. Soft Cover. Fine. Size: 26cmx18cm Number of books: 1, American Mathematical Society, 2003, 5

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Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs) - Aliprantis, Charalambos D./ Burkinshaw, Owen

EXEMPLE

(*)

Aliprantis, Charalambos D./ Burkinshaw, Owen:
Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs) - edition reliée, livre de poche

2003, ISBN: 9780821834084

Amer Mathematical Society, 2003. Hardcover. New. 2nd edition. 344 pages. 10.25x7.25x1.00 inches., Amer Mathematical Society, 2003

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Locally Solid Riesz Spaces with Applications to Economics - Charalambos D. Aliprantis; Owen Burkinshaw

(*)

Charalambos D. Aliprantis; Owen Burkinshaw:
Locally Solid Riesz Spaces with Applications to Economics - edition reliée, livre de poche

2003, ISBN: 9780821834084

[ED: 2], 2nd Revised edition, Hardcover, Buch, [PU: American Mathematical Society]

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Locally Solid Riesz Spaces with Applications to Economics - Charalambos D. Aliprantis; Owen Burkinshaw

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Charalambos D. Aliprantis; Owen Burkinshaw:

Locally Solid Riesz Spaces with Applications to Economics - edition reliée, livre de poche

2004, ISBN: 9780821834084

Buch, Hardcover, 2nd Revised edition, 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… Plus…

Buch, Hardcover, 2nd Revised edition, 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. [PU: American Mathematical Society], Seiten: 344, American Mathematical Society, 2004<

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Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105) - Aliprantis, Charalambos D. Burkinshaw, Owen

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Aliprantis, Charalambos D. Burkinshaw, Owen:

Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105) - edition reliée, livre de poche

2003, ISBN: 9780821834084

American Mathematical Society, Gebundene Ausgabe, Auflage: 2, 344 Seiten, Publiziert: 2003-11-01T00:00:01Z, Produktgruppe: Buch, 1.78 kg, Verkaufsrang: 542, Wirtschaftslehre, Wirtschaft, … Plus…

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Charalambos D. Aliprantis, Owen Burkinshaw:
Mathematics foreign book Locally solid Riesz spaces with applications to economics 2nd Edition Mathematical surveys and monographs 105 - Livres de poche

2003

ISBN: 9780821834084

American Mathematical Society, 2003. Soft Cover. Fine. Size: 26cmx18cm Number of books: 1, American Mathematical Society, 2003, 5

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Aliprantis, Charalambos D./ Burkinshaw, Owen:
Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys and Monographs) - edition reliée, livre de poche

2003, ISBN: 9780821834084

Amer Mathematical Society, 2003. Hardcover. New. 2nd edition. 344 pages. 10.25x7.25x1.00 inches., Amer Mathematical Society, 2003

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Locally Solid Riesz Spaces with Applications to Economics - Charalambos D. Aliprantis; Owen Burkinshaw

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Charalambos D. Aliprantis; Owen Burkinshaw:
Locally Solid Riesz Spaces with Applications to Economics - edition reliée, livre de poche

2003, ISBN: 9780821834084

[ED: 2], 2nd Revised edition, Hardcover, Buch, [PU: American Mathematical Society]

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Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105)

Auteur:	Aliprantis, Charalambos D. Burkinshaw, Owen
Titre:	Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105)
ISBN:	9780821834084

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.

Informations détaillées sur le livre - Locally Solid Riesz Spaces With Applications to Economics (Mathematical Surveys & Monographs, Band 105)

EAN (ISBN-13): 9780821834084
ISBN (ISBN-10): 0821834088
Version reliée
Livre de poche
Date de parution: 2003
Editeur: American Mathematical Society

Livre dans la base de données depuis 2008-03-11T20:36:32+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-01-16T23:28:25+01:00 (Zurich)
ISBN/EAN: 9780821834084

ISBN - Autres types d'écriture:
0-8218-3408-8, 978-0-8218-3408-4
Autres types d'écriture et termes associés:
Auteur du livre: charalambos aliprantis
Titre du livre: riesz spaces, solid, riesz nagy, mathematical economics

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