Analysis Now - Couverture rigide

Pedersen, G.

Couverture rigide

ISBN 10 : 3540967885 ISBN 13 : 9783540967880

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1989

Synopsis

Providing an introduction to the main areas of modern analysis, this text starts with general topology and moves on to normed and semi-normed linear spaces. From there, it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various possible forms of the spectral theorem: from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The work concludes with two supplementary chapters: an account of unbounded operators and their spectral theory, and a complete course in measure and integration theory (from an advanced perspective).

A propos du livre

Présentation de l'éditeur

Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1989
• Langue: anglais
• ISBN 10: 3540967885
• ISBN 13: 9783540967880
• Reliure: Relié
• Nombre de pages: 277
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible