Boolean Algebras in Analysis

D. A. Vladimirov

ISBN 10: 904815961X / ISBN 13: 9789048159611

Published by Springer Netherlands, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9789048159611

Bibliographic Details

• Title: Boolean Algebras in Analysis
• Publisher: Springer Netherlands
• Publication Date: 2010
• Language: English
• ISBN 10: 904815961X
• ISBN 13: 9789048159611
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 34D millimeters 235 millimeters width by 155 millimeters height by 34 millimeters depth
• Weight: 943 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