ABSTRACT

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 funct

part |2 pages

Lie theory

chapter 1|22 pages

Topological Lie Algebras

chapter 2|30 pages

Lie Groups and Their Lie Algebras

chapter 3|24 pages

Enlargibility

chapter 4|26 pages

Smooth Homogeneous Spaces

chapter 5|22 pages

Quasimultiplicative Maps

chapter 6|18 pages

Complex Structures on Homogeneous Spaces

part |2 pages

Equivariant monotone operators and Kähler structures

chapter 7|24 pages

Equivariant Monotone Operators

chapter |10 pages

C Topological Groups