Smooth Homogeneous Structures in Operator Theory - Couverture rigide

Beltita, Daniel

Couverture rigide

ISBN 10 : 158488617X ISBN 13 : 9781584886174

Editeur : Chapman and Hall/CRC, 2019

Synopsis

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research.

Requiring only a moderate familiarity with functional analysis and general topology, the author begins with an introduction to infinite dimensional Lie theory with emphasis on the relationship between Lie groups and Lie algebras. A detailed examination of smooth homogeneous spaces follows. This study is illustrated by familiar examples from operator theory and develops methods that allow endowing such spaces with structures of complex manifolds. The final section of the book explores equivariant monotone operators and Kähler structures. It examines certain symmetry properties of abstract reproducing kernels and arrives at a very general version of the construction of restricted Grassmann manifolds from the theory of loop groups.

The author provides complete arguments for nearly every result. An extensive list of references and bibliographic notes provide a clear picture of the applicability of geometric methods in functional analysis, and the open questions presented throughout the text highlight interesting new research opportunities.

Daniel Beltitâ is a Principal Researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest, Romania.

A propos du livre

À propos de l'auteur

Beltita, Daniel

Détails de l'édition

• Éditeur: Chapman and Hall/CRC
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 158488617X
• ISBN 13: 9781584886174
• Reliure: Relié
• Nombre de pages: 302
• Coordonnées du fabricant: CRC Press; https://www.routledge-ny.com; ; 6000 BROKEN SOUND PARKWAY, NW SUITE 300; BOCA RATON; FL; 33487; Etats-Unis
• Personne responsable: non disponible