Analytic Theory of Subnormal Operators

The analytic model represents a subnormal operator as the multiplication by the independent variable of a space of vector-valued functions that are analytic on the resolvent set of its normal extension, says Xia. He begins by setting out the basic properties of the analytic model and the mosaic, a useful tool in the theory of the analytic model. Then he discusses subnormal operators with finite rank self-commutators, the analytic model for subnormal k-tuple of operators, subnormal tuple of operators with finite dimension defect space, and hyponormal operators with finite rank self-commutators. Annotation c2015 Ringgold, Inc., Portland, OR (protoview.com)