An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space

de Konrad Schmüdgen
État : Neuf
43,11 €
TVA incluse - Livraison GRATUITE
Konrad Schmüdgen An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space
Konrad Schmüdgen - An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space

Ce produit vous plaît ? N'hésitez pas à le dire !

43,11 € dont de TVA
Plus que 1 exemplaire(s) disponible(s) Plus que 1 exemplaire(s) disponible(s)
Livraison : entre mercredi 1 juin 2022 et vendredi 3 juin 2022
Vente et expédition: Dodax

Autres options d'achat

1 offre à 50,01 €

Vendu par Dodax

50,01 € dont de TVA
État : Neuf
Livraison gratuite
Livraison : entre mercredi 1 juin 2022 et vendredi 3 juin 2022
Afficher autres options d'achat

La description

This textbook provides an introduction to representations of general ∗-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.
The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special classes of ∗-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded ∗-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensätze, induced representations, well-behaved representations and representations on rigged modules.


Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.

Contributeurs

Écrivain:
Konrad Schmüdgen

Détails du produit

Commentaire illustrations:
XVIII, 381 p.
Table des Matières:
General Notation.- 1 Prologue: The Algebraic Approach to Quantum Theories.- 2 ∗-Algebras.- 3 O*-Algebras.- 4 ∗-Representations.- 5 Positive Linear Functionals.- 6 Representations of Tensor Algebras.- 7 Integrable Representations of Commutative ∗-Algebras.- 8 The Weyl Algebra and the Canonical Commutation Relation.- 9 Integrable Representations of Enveloping Algebras.- 10 Archimedean Quadratic Modules and Positivstellensätze.- 11 The Operator Relation X
X*=F(X*X).- 12 Induced ∗-Representations.- 13 Well-behaved ∗-Representations.- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space.- B C*-Algebras and Representations.- C Locally Convex Spaces and Separation of Convex Sets.- References.- Symbol Index.- Subject Index.
Remarques:
Provides an accessible introduction to basic results and notions of unbounded representation theory


Contains an extensive study of representations of the Weyl algebra and the commutation relation of quantum mechanics


Treats many topics in unbounded representation theory in book form for the first time

Type de média:
Souple
Éditeur:
Springer International Publishing
Biographie:
Konrad Schmüdgen is Emeritus Professor at the Mathematical Institute of the University of Leipzig. He has worked for decades on unbounded representations and made important contributions. Among these are trace representation theorems for linear functionals, noncommutative Positivstellensätze, results on the transition probability, the theory of induced and well-behaved representations and classifications results of representations of special classes of algebras. He is the author of several books, including the Graduate Texts in Mathematics Unbounded Self-adjoint Operators on Hilbert Space (2012) and The Moment Problem (2017).
Évaluation:

"It is very well written, the style is pleasant and attractive, and the information can be used by beginners and by specialists as well. All chapters are accompanied by exercises and pertinent historical comments. ... all researchers interested in representation theory may regard this work not only as a reference book but also as a source of inspiration for further development." (Florian-Horia Vasilescu, zbMATH 1458.47002, 2021)

Langues:
Anglais
Édition:
1st ed. 2020
Nombre de pages:
381

Données de base

Type d'produit:
Livre de poche
Date de publication:
29 juillet 2021
Dimensions du colis:
0.235 x 0.155 x 0.023 m; 0.703 kg
GTIN:
09783030463687
DUIN:
VBHF9F7K5F5
43,11 €
Nous avons recours aux cookies sur notre site internet afin de rendre votre visite plus agréable et ergonomique. Nous vous invitons ainsi à cliquer sur "Accepter les cookies" ! De plus amples informations sont disponibles dans notreDéclaration de protection des données.