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Book
One-parameter semigroup of positive operators
Authors: --- --- ---
ISBN: 3540164545 0387164545 3540397914 9783540164548 Year: 1986 Volume: 1184 Publisher: Berlin

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Book
Partially ordered linear topological spaces
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Year: 1961 Publisher: Providence (R.I.): American mathematical society,

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Variational Methods in Partially Ordered Spaces
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ISBN: 1280188278 9786610188277 0387217436 0387004521 Year: 2003 Publisher: New York, NY : Springer New York : Imprint: Springer,

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In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in multiobjective problems, both from the theoretical point of view and as it concerns applications to real problems, asks for a general scheme which embraces several existing developments and stimulates new ones. In this book the authors provide the newest results and applications of this quickly growing field. This book will be of interest to graduate students in mathematics, economics, and engineering, as well as researchers in pure and applied mathematics, economics, engineering, geography, and town planning. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book.


Book
Pre-Riesz Spaces
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ISBN: 3110475448 3110476290 9783110476293 9783110475449 9783110475395 3110475391 Year: 2018 Publisher: Berlin Boston

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This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces

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