Boolean Algebras in Analysis

D. A. Vladimirov

ISBN 10: 140200480X / ISBN 13: 9781402004803

Published by Springer Netherlands, Springer Netherlands Mär 2002, 2002

About this Item

Neuware -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 homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory.The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin.Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 632 pp. Englisch.

Seller Inventory # 9781402004803

Bibliographic Details

• Title: Boolean Algebras in Analysis
• Publisher: Springer Netherlands, Springer Netherlands Mär 2002
• Publication Date: 2002
• Language: English
• ISBN 10: 140200480X
• ISBN 13: 9781402004803
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 39D millimeters 241 millimeters width by 160 millimeters height by 39 millimeters depth
• Weight: 1103 grams

About this title

Synopsis

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 homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory.

The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin.

Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis.

Language Notes

Text: English (translation)
Original Language: Russian