Smooth Homogeneous Structures in Operator Theory

Language: English

Published by CRC Press Nov 2005, 2005

158488617X / 9781584886174

Series: Book 16 of 34 - Monographs and Surveys in Pure and Applied Mathematics

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Neuware - 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.

Seller Inventory # 9781584886174

Title
Smooth Homogeneous Structures in Operator Theory
Author
Daniel Beltita
Publisher
CRC Press Nov 2005
Publication year
2005
Condition
Neu
Binding
Buch
Language
English
ISBN 10
158488617X
ISBN 13
9781584886174
Item weight
612 grams
Dimensions
243x157x22 mm
Series
Book 16 of 34: Monographs and Surveys in Pure and Applied Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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