Smooth Homogeneous Structures in Operator Theory

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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.