Cones and Duality: Charalambos D. Aliprantis, Rabee Tourky

Cones and Duality: Charalambos D. Aliprantis, Rabee Tourky

by Charalambos D. Aliprantis, Rabee Tourky
     
 

ISBN-10: 0821841467

ISBN-13: 9780821841464

Pub. Date: 07/14/2007

Publisher: American Mathematical Society

Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950

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Overview

Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.

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Product Details

ISBN-13:
9780821841464
Publisher:
American Mathematical Society
Publication date:
07/14/2007
Series:
Graduate Studies in Mathematics Series, #84
Pages:
279
Product dimensions:
7.30(w) x 10.20(h) x 0.80(d)

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