
Similarity of Operator on Analytic Function Spaces
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More details
Person
Yucheng Li is a professor at Hebei Normal University, whose main research interests are function spaces and operator theory.
Content
- Cover-1
- Cover-2
- Similarity of Operator on Analytic Function Spaces
- Preface
- Contents
- Operator on the Bergman Space
- 1.1 Similarity Invariant of Analytic Toeplitz Operators
- 1.2 Commutant of Analytic Toeplitz Operators
- 1.3 Compactness of a Class of Radial Operators
- 1.4 Similarity of a Class of Multiplication Operators
- 1.5 n-Berezin Transform and Radial Operator
- 1.6 A Class of Hilbert-Schmidt Operators on the Harmonic Bergman Space
- 1.7 The Operator Mzn1zn2 on Subspaces of Bergman Spaces over the Biannulus
- 1.8 Local Quasi-Similarity and Reducing Subspaces of Multiplication Operator
- 1.9 Quasi-Affinity and Reducing Subspaces of Multiplication Operator
- 1.10 Remarks
- Operator on the Dirichlet Space
- 2.1 Similarity and Commutant of a Class of Multiplication Operators
- 2.2 The Properties of Canonical Solution Operator to
- 2.3 Compactness of Hankel Operators
- 2.4 Remarks
- Operator on the Fock Space
- 3.1 Quasi-Similarity and Reducing Subspaces of Multiplication Operator
- 3.2 The Norm of Hankel Operator Restricted to the Fock Space
- 3.3 Remarks
- Operator on the Soblev Disk Algebra
- 4.1 Similarity and Reducing Subspaces of Multiplication Operator
- 4.2 Remarks
- Operator on Banach Algebra
- 5.1 Algebra Matrix and Similarity Classification of Operators
- 5.2 Remarks
- Conclusion
- References
- List of Symbols and Notations
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