Smooth Homogeneous Structures in Operator Theory

Informationen zum Autor Beltita! Daniel Klappentext Smooth Homogeneous Structures in Operator Theory addresses the role geometric ideas and techniques play in operator theory and the theory of operator algebras. The book provides an introduction to infinite-dimensional Lie groups as well as infinite-dimensional complex manifolds. The author examines various applications to operator theory, presenting open problems in order to stimulate further research. He also investigates symmetry properties of abstract reproducing kernels and applies results to Kahler homogeneous spaces. With extensive references, the text is ideal for graduate students and researchers working in functional analysis, Lie groups, representation theory, and complex geometry. Zusammenfassung Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. This title builds the background to understand this circle of ideas and reports on developments in this field of research. It introduces infinite dimensional Lie theory, emphasising on the relationship between Lie groups and Lie algebras. Inhaltsverzeichnis Lie Theory. Homogeneous Spaces. Equivalent Monotone Operators and Kähler Structures.

Product details

• Authors: Daniel Beltita
• Assisted by: Daniel Cost Beltita (Editor)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 01.11.2005
• EAN: 9781584886174
• ISBN: 978-1-58488-617-4
• No. of pages: 318
• Series: Monographs and Surveys in Pure and Applied Mathematics; Monographs and Surveys in Pure and Applied Mathematics; Chapman & Hall/CRC Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Algebra, MATHEMATICS / General, MATHEMATICS / Geometry / General, MATHEMATICS / Functional Analysis, MATHEMATICS / Algebra / General, geometry, Calculus & mathematical analysis, Calculus and mathematical analysis