Description

Book Synopsis
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. This book presents a study (with complete proofs) of topological Riesz spaces.

Table of Contents
The lattice structure of Riesz spaces Locally solid topologies Lebesgue topologies Fatou topologies Metrizability Weak compactness in Riesz spaces Lateral completeness Market economies Solutions to the exercises Bibliography Index.

Locally Solid Riesz Spaces with Applications to

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    A Hardback by Charalambos D. Aliprantis, Owen Burkinshaw

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      View other formats and editions of Locally Solid Riesz Spaces with Applications to by Charalambos D. Aliprantis

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2003 12:00:00 AM
      ISBN13: 9780821834084, 978-0821834084
      ISBN10: 0821834088

      Description

      Book Synopsis
      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. This book presents a study (with complete proofs) of topological Riesz spaces.

      Table of Contents
      The lattice structure of Riesz spaces Locally solid topologies Lebesgue topologies Fatou topologies Metrizability Weak compactness in Riesz spaces Lateral completeness Market economies Solutions to the exercises Bibliography Index.

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