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Boolean Algebras in Analysis - D. A. Vladimirov
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D. A. Vladimirov:

Boolean Algebras in Analysis - new book

ISBN: 9781402004803

[ED: Buch], [PU: Springer Netherlands], Neuware - Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical t… More...

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Boolean Algebras in Analysis: 540 (Mathematics and Its Applications, 540) - Vladimirov, D.A.
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Vladimirov, D.A.:

Boolean Algebras in Analysis: 540 (Mathematics and Its Applications, 540) - hardcover

2002, ISBN: 9781402004803

Springer, Hardcover, Auflage: 2002, 625 Seiten, Publiziert: 2002-03-31T00:00:01Z, Produktgruppe: Book, 2.33 kg, General Medical Issues, Medical & Healthcare Practitioners, Health, Family … More...

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Boolean Algebras in Analysis (Mathematics and Its Applications, 540, Band 540) - Vladimirov, D.A.
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Vladimirov, D.A.:
Boolean Algebras in Analysis (Mathematics and Its Applications, 540, Band 540) - hardcover

2002

ISBN: 9781402004803

Springer, Gebundene Ausgabe, Auflage: 2002, 625 Seiten, Publiziert: 2002-03-31T00:00:01Z, Produktgruppe: Buch, 5.14 kg, Medizin, Kategorien, Bücher, Algebra & Zahlentheorie, Naturwissensc… More...

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Boolean Algebras in Analysis (Mathematics and Its Applications, 540, Band 540) - Vladimirov, D.A.
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Vladimirov, D.A.:
Boolean Algebras in Analysis (Mathematics and Its Applications, 540, Band 540) - hardcover

2002, ISBN: 9781402004803

Springer, Gebundene Ausgabe, Auflage: 2002, 625 Seiten, Publiziert: 2002-03-31T00:00:01Z, Produktgruppe: Buch, 5.14 kg, Medizin, Kategorien, Bücher, Algebra & Zahlentheorie, Naturwissensc… More...

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Boolean Algebras in Analysis - D.A. Vladimirov
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D.A. Vladimirov:
Boolean Algebras in Analysis - hardcover

2002, ISBN: 9781402004803

Buch, Hardcover, 2002 ed. [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 2002

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Details of the book
Boolean Algebras in Analysis (Mathematics and Its Applications, 540, Band 540)
Author:
Title:
ISBN:

140200480X


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. TOC: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.

Details of the book - Boolean Algebras in Analysis (Mathematics and Its Applications, 540, Band 540)


EAN (ISBN-13): 9781402004803
ISBN (ISBN-10): 140200480X
Hardcover
Publishing year: 2002
Publisher: Springer
632 Pages
Weight: 1,099 kg
Language: eng/Englisch

Book in our database since 2007-06-06T16:23:29+01:00 (London)
Detail page last modified on 2022-07-15T10:27:41+01:00 (London)
ISBN/EAN: 140200480X

ISBN - alternate spelling:
1-4020-0480-X, 978-1-4020-0480-3
Alternate spelling and related search-keywords:
Book author: vladimirov, vladimiro, lyapunov, kolmogorov functional analysis
Book title: boolean algebra, near algebras

Information from Publisher

Author: D.A. Vladimirov
Title: Mathematics and Its Applications; Boolean Algebras in Analysis
Publisher: Springer; Springer Netherland
604 Pages
Publishing year: 2002-03-31
Dordrecht; NL
Language: English
219,99 € (DE)

BB; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; functional; functional analysis; set theory; vector lattice; Functional Analysis; Operator Theory; Measure and Integration; Integralrechnung und -gleichungen; BC; EA

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.- 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.

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