The Resource Banach algebras and the general theory of *-algebras, Volume I, Algebras and banach algebras, Theodore W. Palmer, (electronic resource )

Banach algebras and the general theory of *-algebras, Volume I, Algebras and banach algebras, Theodore W. Palmer, (electronic resource )

Label
Banach algebras and the general theory of *-algebras, Volume I, Algebras and banach algebras
Title
Banach algebras and the general theory of *-algebras
Title number
Volume I
Title part
Algebras and banach algebras
Statement of responsibility
Theodore W. Palmer
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Palmer, Theodore W
Dewey number
  • 512.55
  • 512/.55
Index
index present
Language note
English
LC call number
QA326
LC item number
.P35 1994
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Encyclopedia of mathematics and its applications
  • Encyclopedia of Mathematics and its Applications
Series volume
  • v. 49
  • v.49
http://library.link/vocab/subjectName
Banach algebras
Label
Banach algebras and the general theory of *-algebras, Volume I, Algebras and banach algebras, Theodore W. Palmer, (electronic resource )
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Half Title; Series Page; Title; Copyright; PREFACE; Dedication; 1 Introduction to Normed Algebras; Examples; 1.1 Norms and Semi-norms on Algebras; 1.2 Double Centralizers and Extensions; 1.3 Sums, Products and Limits; 1.4 Arens Multiplication.; 1.5 Algebras of Functions; 1.6 Matrix Algebras; 1.7 Operator Algebras; 1.8 Group Algebras on T; 1.9 Group Algebras; 1.10 Tensor Products; 2 The Spectrum; 2.1 Definition of the Spectrum; 2.2 Spectral Semi-norms; 2.3 The Jacobson Radical and the Fundamental Theorem; 2.4 Spectral Algebras; 2.5 Spectral Subalgebras and Topological Divisors of Zero
  • 2.6 Numerical Range in Banach Algebras2.7 The Spectrum in Finite-Dimensional Algebras; 2.8 Spectral Theory of Operators; 2.9 Topological Algebras; 3 Commutative Algebras and Functional Calculus; 3.1 Gelfand Theory; 3.2 Silov Boundary, Hulls and Kernels; 3.3 Functional Calculus; 3.4 Examples and Applications of Functional Calculus; 3.5 Multivariable Functional Calculus; 3.6 Commutative Group Algebras; 4 Ideals, Representations and Radicals; 4.1 Ideals and Representations; 4.2 Representations and Norms; 4.3 The Jacobson Radical; 4.4 The Baer Radical; 4.5 The Brown-McCoy or Strong Radical
  • 4.6 Subdirect Products4.7 Categorical Theory of Radicals; 4.8 History of Radicals and Examples; 5 Approximate Identities and Factorization; 5.1 Approximate Identities and Examples; 5.2 General Factorization Theorems; 5.3 Countable Factorization Theorems; 6 Automatic Continuity; 6.1 Automatic Continuity of Homomorphisms into A; 6.2 Automatic Continuity of Homomorphisms from A; 6.3 Jordan Homomorphisms; 6.4 Derivations; 6.5 Jordan Derivations; 7 Structure Spaces; 7.1 The Hull-Kernel Topology; 7.2 Completely Regular Algebras; 7.3 Primary Ideals and Spectral Synthesis
  • 7.4 Strongly Harmonic Algebras8 Algebras with Minimal Ideals; 8.1 Finite-Dimensional Algebras; 8.2 Minimal Ideals and the Socle; 8.3 Algebras of Operators with Minimal Ideals; 8.4 Modular Annihilator Algebras; 8.5 Fredholm Theory; 8.6 Algebras with Countable Spectrum for Elements; 8.7 Classes of Algebras with Large Socle; 8.8 Examples; BIBLIOGRAPHY; INDEX; SYMBOL INDEX
Dimensions
unknown
Extent
1 online resource (810 p.)
Form of item
online
Isbn
9781107094208
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2670000000356574
  • (EBL)1179119
  • (SSID)ssj0000893856
  • (PQKBManifestationID)11545779
  • (PQKBTitleCode)TC0000893856
  • (PQKBWorkID)10847657
  • (PQKB)11380819
  • (UkCbUP)CR9781107325777
  • (MiAaPQ)EBC1179119
  • (EXLCZ)992670000000356574
Label
Banach algebras and the general theory of *-algebras, Volume I, Algebras and banach algebras, Theodore W. Palmer, (electronic resource )
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Half Title; Series Page; Title; Copyright; PREFACE; Dedication; 1 Introduction to Normed Algebras; Examples; 1.1 Norms and Semi-norms on Algebras; 1.2 Double Centralizers and Extensions; 1.3 Sums, Products and Limits; 1.4 Arens Multiplication.; 1.5 Algebras of Functions; 1.6 Matrix Algebras; 1.7 Operator Algebras; 1.8 Group Algebras on T; 1.9 Group Algebras; 1.10 Tensor Products; 2 The Spectrum; 2.1 Definition of the Spectrum; 2.2 Spectral Semi-norms; 2.3 The Jacobson Radical and the Fundamental Theorem; 2.4 Spectral Algebras; 2.5 Spectral Subalgebras and Topological Divisors of Zero
  • 2.6 Numerical Range in Banach Algebras2.7 The Spectrum in Finite-Dimensional Algebras; 2.8 Spectral Theory of Operators; 2.9 Topological Algebras; 3 Commutative Algebras and Functional Calculus; 3.1 Gelfand Theory; 3.2 Silov Boundary, Hulls and Kernels; 3.3 Functional Calculus; 3.4 Examples and Applications of Functional Calculus; 3.5 Multivariable Functional Calculus; 3.6 Commutative Group Algebras; 4 Ideals, Representations and Radicals; 4.1 Ideals and Representations; 4.2 Representations and Norms; 4.3 The Jacobson Radical; 4.4 The Baer Radical; 4.5 The Brown-McCoy or Strong Radical
  • 4.6 Subdirect Products4.7 Categorical Theory of Radicals; 4.8 History of Radicals and Examples; 5 Approximate Identities and Factorization; 5.1 Approximate Identities and Examples; 5.2 General Factorization Theorems; 5.3 Countable Factorization Theorems; 6 Automatic Continuity; 6.1 Automatic Continuity of Homomorphisms into A; 6.2 Automatic Continuity of Homomorphisms from A; 6.3 Jordan Homomorphisms; 6.4 Derivations; 6.5 Jordan Derivations; 7 Structure Spaces; 7.1 The Hull-Kernel Topology; 7.2 Completely Regular Algebras; 7.3 Primary Ideals and Spectral Synthesis
  • 7.4 Strongly Harmonic Algebras8 Algebras with Minimal Ideals; 8.1 Finite-Dimensional Algebras; 8.2 Minimal Ideals and the Socle; 8.3 Algebras of Operators with Minimal Ideals; 8.4 Modular Annihilator Algebras; 8.5 Fredholm Theory; 8.6 Algebras with Countable Spectrum for Elements; 8.7 Classes of Algebras with Large Socle; 8.8 Examples; BIBLIOGRAPHY; INDEX; SYMBOL INDEX
Dimensions
unknown
Extent
1 online resource (810 p.)
Form of item
online
Isbn
9781107094208
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2670000000356574
  • (EBL)1179119
  • (SSID)ssj0000893856
  • (PQKBManifestationID)11545779
  • (PQKBTitleCode)TC0000893856
  • (PQKBWorkID)10847657
  • (PQKB)11380819
  • (UkCbUP)CR9781107325777
  • (MiAaPQ)EBC1179119
  • (EXLCZ)992670000000356574

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