Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Requiring only a moderate familiarity with functional analysis and general topology, 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. 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.