Cantitate/Preț
Produs
Total produse
Vezi coșul
C*-Algebras and W*-Algebras de Shoichiro Sakai

C*-Algebras and W*-Algebras: Classics in Mathematics

Autor Shoichiro Sakai
en Limba Engleză Paperback – 11 dec 1997
From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." (Math. Reviews) "In theory, this book can be read by a well-trained third-year graduate student - but the reader had better have a great deal of mathematical sophistication. The specialist in this and allied areas will find the wealth of recent results and new approaches throughout the text especially rewarding." (American Scientist) "The title of this book at once suggests comparison with the two volumes of Dixmier and the fact that one can seriously make this comparison indicates that it is a far more substantial work that others on this subject which have recently appeared"(BLMSoc)
Citește tot Restrânge

Din seria Classics in Mathematics

  • Practical Quantum Mechanics
    Preț: 40418 lei
  • The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients
    Preț: 40047 lei
  • Perturbation Theory for Linear Operators
    Preț: 40434 lei
  • Theory of Stein Spaces
    Preț: 41362 lei
  • Algebraic Topology - Homotopy and Homology
    Preț: 43004 lei
  • Introduction to Calculus and Analysis II/2: Chapters 5 - 8
    Preț: 42289 lei
  • Combinatorial Group Theory
    Preț: 41723 lei
  • Homology
    Preț: 42097 lei
  • An Introduction to the Geometry of Numbers
    Preț: 41723 lei
  • Introduction to Quadratic Forms
    Preț: 41441 lei
  • Lectures on Algebraic Topology
    Preț: 41890 lei
  • Algebraic Surfaces
    Preț: 41270 lei
  • Transformation Groups in Differential Geometry
    Preț: 40704 lei
  • Stability Theory of Dynamical Systems
    Preț: 47530 lei
  • The Theory of Stochastic Processes II
    Preț: 42890 lei
  • Geometric Measure Theory
    Preț: 43552 lei
  • Introduction to Calculus and Analysis II/1
    Preț: 43154 lei
  • Introduction to Calculus and Analysis I
    Preț: 43872 lei
  • The Theory of Stochastic Processes I
    Preț: 42928 lei
  • Hamiltonian Methods in the Theory of Solitons
    Preț: 49924 lei
  • Topological Methods in Algebraic Geometry: Reprint of the 1978 Edition
    Preț: 41041 lei
  • Functional Analysis
    Preț: 42795 lei
  • Number Theory
    Preț: 43739 lei
  • Problems and Theorems in Analysis I: Series. Integral Calculus. Theory of Functions
    Preț: 42192 lei
  • Lectures on Celestial Mechanics
    Preț: 41346 lei
  • Finite Geometries: Reprint of the 1968 Edition
    Preț: 42044 lei
  • Combinatorial Theory
    Preț: 42289 lei
  • Classical Potential Theory and Its Probabilistic Counterpart
    Preț: 44816 lei
  • Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry
    Preț: 42134 lei
  • Classical Banach Spaces I and II: Sequence Spaces and Function Spaces
    Preț: 49450 lei
  • The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis
    Preț: 42458 lei
  • Algebraic Geometry I: Complex Projective Varieties
    Preț: 40966 lei
  • Diffusion Processes and their Sample Paths
    Preț: 41949 lei
  • The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators
    Preț: 41873 lei
  • Einstein Manifolds
    Preț: 42869 lei
  • K-Theory: An Introduction
    Preț: 41723 lei
  • Multiple Integrals in the Calculus of Variations
    Preț: 42945 lei
  • Probability in Banach Spaces: Isoperimetry and Processes
    Preț: 42671 lei
  • Multidimensional Diffusion Processes
    Preț: 40861 lei
  • Function Theory in the Unit Ball of Cn
    Preț: 42380 lei
  • The Theory of Stochastic Processes III
    Preț: 42097 lei
  • Complex Manifolds and Deformation of Complex Structures
    Preț: 42647 lei
  • Entropy, Large Deviations, and Statistical Mechanics
    Preț: 42005 lei
  • Interacting Particle Systems
    Preț: 42833 lei
  • The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators
    Preț: 42987 lei
  • Elliptic Partial Differential Equations of Second Order
    Preț: 40227 lei

Preț: 41325 lei

Nou

Puncte Express: 620
Preț estimativ în valută:
7909€ • 8215$ • 6569£

Carte tipărită la comandă

Livrare economică 03-17 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783540636335
ISBN-10: 3540636331
Pagini: 276
Ilustrații: XII, 259 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.43 kg
Ediția:1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Classics in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. General Theory.- 1.1. Definitions of C*-Algebras and W*-Algebras.- 1.2. Commutative C*-Algebras.- 1.3. Stonean Spaces.- 1.4. Positive Elements of a C*-Algebra.- 1.5. Positive Linear Functionals on a C*-Algebra.- 1.6. Extreme Points in the Unit Sphere of a C*-Algebra.- 1.7. The Weak Topology on a W*-Algebra.- 1.8. Various Topologies on a W*-Algebra.- 1.9. Kaplansky’s Density Theorem.- 1.10. Ideals in a W*-Algebra.- 1.11. Spectral Resolution of Self-Adjoint Elements in a W*-Algebra.- 1.12. The Polar Decomposition of Elements of a W*-Algebra.- 1.13. Linear Functionals on a W*-Algebra.- 1.14. Polar Decomposition of Linear Functionals on a W*-Algebra.- 1.15. Concrete C*-Algebras and W*-Algebras.- 1.16. The Representation Theorems for C*-Algebras and W*- Algebras.- 1.17. The Second Dual of a C*-Algebra.- 1.18. Commutative W*-Algebras.- 1.19. The C*-Algebra C(?) of all Compact Linear Operators on a Hilbert Space ?.- 1.20. The Commutation Theorem of von Neumann.- 1.21. *-Representations of C*-Algebras, 1.- 1.22. Tensor Products of C*-Algebras and W*-Algebras.- 1.23. The Inductive Limit and Infinite Tensor Product of C*- Algebras.- 1.24. Radon-Nikodym Theorems in W*-Algebras.- 2. Classification of W*-Algebras.- 2.1. Equivalence of Projections and the Comparability Theorem.- 2.2. Classification of W*-Algebras.- 2.3. Type I W*-Algebras.- 2.4. Finite W*-Algebras.- 2.5. Traces and Criterions of Types.- 2.6. Types of Tensor Products of W*-Algebras.- 2.7. *-Representations of C*-Algebras and W*-Algebras, 2.- 2.8. The Commutation Theorem of Tensor Products.- 2.9. Spatial Isomorphisms of W*-Algebras.- 3. Decomposition Theory.- 3.1. Decompositions of States (Non-Separable Cases).- 3.2. Reduction Theory (Space-Free).- 3.3. Direct Integral of Hilbert Spaces.- 3.4. Decomposition ofStates (Separable Cases).- 3.5. Central Decomposition of States (Separable Cases).- 4. Special Topics.- 4.1. Derivations and Automorphisms of C*-Algebras and W*-Algebras.- 4.2. Examples of Factors, 1 (General Construction).- 4.3. Examples of Factors, 2 (Uncountable Families of Types II 1, II? and III.- 4.4. Examples of Factors, 3 (Other Results and Problems).- 4.5. Global W*-Algebras (Non-Factors).- 4.6. Type I C*-Algebras.- 4.7. On a Stone-Weierstrass Theorem for C*-Algebras.- List of Symbols.

Recenzii

From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." (Math. Reviews) "In theory, this book can be read by a well-trained third-year graduate student - but the reader had better have a great deal of mathematical sophistication. The specialist in this and allied areas will find the wealth of recent results and new approaches throughout the text especially rewarding." (American Scientist) "The title of this book at once suggests comparison with the two volumes of Dixmier and the fact that one can seriously make this comparison indicates that it is a far more substantial work than others on this subject which have recently appeared"(BLMSoc)

Notă biografică

Biography of Shôichirô Sakai
Shôichirô Sakai was born in 1928 in Kanuma, Japan. He received his B. A. in mathematics in 1953 and his doctorate in 1961 from Tohoku University, Sendai. He was a research assistant there (195-1960), then a faculty member of Waseda University, Tokyo (1960-1964). After 2 years on the faculty of the University of Pennsylvania, he became a professor in 1966 and stayed there till 1979 when he returned to Japan to a chair at Nihon University, Tokyo. Prof. Sakai has also held visiting positions at Yale University (1962-1964) and at MIT (1967-1968). His main interests are in operator algebras, functional analysis and mathematical physics.

Caracteristici

Every chapter of the book contains illuminating remarks and open problems and references for other details or topics not discussed. The style of the book is fluent. It represents an important contribution to the literature on C*-algebras and through results, problems, a stimulating book for researchers." Revue Romaine de Mathématiques