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Charalambos D Aliprantis: Locally Solid Riesz Spaces with Applications to Economics - nuovo livro
ISBN: 9781470413323
eBooks, eBook Download (PDF), 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 s… mais…
eBooks, eBook Download (PDF), 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, 0<
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Custos de envio:Download sofort lieferbar. (EUR 0.00) Details...
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Jens Carsten Jantzen: Locally Solid Riesz Spaces with Applications to Economics - nuovo livro
ISBN: 9781470413323
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… mais…
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. ; PDF; Business,Finance and Law > Economics, American Mathematical Society<
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No. 9781470413323. Custos de envio:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., mais custos de envio Details...
(*) Livro esgotado significa que o livro não está disponível em qualquer uma das plataformas associadas buscamos.
Locally Solid Riesz Spaces with Applications to Economics - nuovo livro
ISBN: 9781470413323
eBooks, eBook Download (PDF), 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 s… mais…
eBooks, eBook Download (PDF), 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, 0<
Custos de envio:Download sofort lieferbar. (EUR 0.00)
Locally Solid Riesz Spaces with Applications to Economics - nuovo livro
ISBN: 9781470413323
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… mais…
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. ; PDF; Business,Finance and Law > Economics, American Mathematical Society<
No. 9781470413323. Custos de envio:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., mais custos de envio
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EAN (ISBN-13): 9781470413323 Editor/Editora: American Mathematical Society
Livro na base de dados desde 2020-09-01T07:37:30-03:00 (Sao Paulo) Página de detalhes modificada pela última vez em 2023-08-29T09:09:04-03:00 (Sao Paulo) Número ISBN/EAN: 9781470413323
Número ISBN - Ortografia alternativa: 978-1-4704-1332-3 Ortografia alternativa e termos de pesquisa relacionados: Autor do livro: aliprantis
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