Analytic Theory of Subnormal Operators

This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborators. It serves as a guide and basis to students and researchers on understanding and exploring further this new direction in operator theory. The volume expounds lucidly on analytic model theory, mosaics, trace formulas of the subnormal operators, and subnormal tuples of operators on the Hilbert spaces.

Contents:

• Subnormal Operators

• Subnormal Operators with Finite Rank Self-Commutators

• Analytic Model for Subnormal k-Tuple of Operators

• Subnormal Tuple of Operators with Finite Dimension Defect Space

• Hyponormal Operators with Finite Rank Self-Commutators

• Appendices:

  • The Singular Integral Model, Mosaic and Trace Formula of Hyponormal Operator
  • Quadrature Domain

Readership: Undergraduates, graduates and researchers in operator theory, complex analysis and mathematical physics.
Key Features:

• The text takes an insight-oriented approach that gives immediacy and flexibility
• This monograph lays the basic foundation for these topics, making it beneficial to mathematicians and possible also to those who are working in mathematical physics
• Comprehensible treatment of modern subjects in operator theory
• Written by one of the foremost experts in operator theory and functional analysis