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Excerpt from Semilinear (Topological) Spaces and Applications: June, 1971
In this paper we define semivector spaces and develop some of their algebraic aspects including some structure theory; then top 0pogize these spaces to obtain semilinear topological spaces for which we identify a hierarchy of local convexity axioms; establish a number of fixed point and minmax theorems for spaces with various local convexity properties; illustrate how the spaces of concern arise naturally as various hyperspaces of linear and semilinear (topological) spaces; and, finally, indicate briefly how all the above are applied in socio-economic analysis and optimization.
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Excerpt from Semilinear (Topological) Spaces and Applications: June, 1971
In this paper we define semivector spaces and develop some of their algebraic aspects including some structure theory; then top 0pogize these spaces to obtain semilinear topological spaces for which we identify a hierarchy of local convexity axioms; establish a number of fixed point and minmax theorems for spaces with various local convexity properties; illustrate how the spaces of concern arise naturally as various hyperspaces of linear and semilinear (topological) spaces; and, finally, indicate briefly how all the above are applied in socio-economic analysis and optimization.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Semilinear (Topological) Spaces and Applications: June, 1971 (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book defines and explores semivector spaces, elaborating on their algebraic aspects and some structure theory. It goes on to topologize these spaces, and identify a hierarchy of local convexity axioms for real semilinear topological spaces. The author establishes a number of fixed point and minmax theorems for spaces with various local convexity properties. They illustrate how the spaces of concern arise naturally as various hyperspaces of linear and semilinear spaces and indicate briefly how the material of the earlier sections is applied in socio-economic analysis and optimization. In contrast to vector spaces, semivector spaces are built upon underlying commutative semigroups, so that the space need not have an origin (identity element) and its elements need not possess inverses. The author uses this foundation to generalize well-known fixed point theorems due to S. Kakutani H. F. Bohnenblust, S. Karlin and K. Fan. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332281459_0
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Semilinear Topological Spaces and Applications June, 1971 Classic Reprint
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Semilinear Topological Spaces and Applications June, 1971 Classic Reprint
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