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Boolean Algebras in Analysis /

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Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphi...

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Bibliographic Details
Main Author: Vladimirov, D. A.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 2002.
Series:Mathematics and its applications ; 540.
Subjects:
Mathematics.
Functional analysis.
Operator theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Foreword to the English Translation
  • Denis Artem'evich Vladimirov (1929-1994)
  • Preface
  • Introduction
  • Part I: General Theory of Boolean Algebras. 0. Preliminaries on Boolean Algebras. 1. The Basic Apparatus. 2. Complete Boolean Algebras. 3. Representation of Boolean Algebras. 4. Topologies on Boolean Algebras. 5. Homomorphisms. 6. Vector Lattices and Boolean Algebras
  • Part II: Metric Theory of Boolean Algebras. 7. Normed Boolean Algebras. 8. Existence of a Measure. 9. Structure of a Normed Boolean Algebra. 10. Independence. Appendices. Prerequisites to Set Theory and General Topology. 1. General remarks. 2. Partially ordered sets. 3. Topologies. Basics of Boolean Valued Analysis. 1. General remarks. 2. Boolean valued models. 3. Principles of Boolean valued analysis. 4. Ascending and descending
  • References
  • Index.