Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Other
- Figures
- 1 Why Toeplitz–Hankel? Motivations and Panorama
- 2 Hankel and Toeplitz: Sibling Operators on the Space H2
- 3 H2 Theory of Toeplitz Operators
- 4 Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO)
- 5 Toeplitz Matrices: Moments, Spectra, Asymptotics
- Appendix A Key Notions of Banach Spaces
- Appendix B Key Notions of Hilbert Spaces
- Appendix C An Overview of Banach Algebras
- Appendix D Linear Operators
- Appendix E Fredholm Operators and the Noether Index
- Appendix F A Brief Overview of Hardy Spaces
- References
- Backmatter
- Index
2 - Hankel and Toeplitz: Sibling Operators on the Space H2
Published online by Cambridge University Press: 06 December 2019
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Other
- Figures
- 1 Why Toeplitz–Hankel? Motivations and Panorama
- 2 Hankel and Toeplitz: Sibling Operators on the Space H2
- 3 H2 Theory of Toeplitz Operators
- 4 Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO)
- 5 Toeplitz Matrices: Moments, Spectra, Asymptotics
- Appendix A Key Notions of Banach Spaces
- Appendix B Key Notions of Hilbert Spaces
- Appendix C An Overview of Banach Algebras
- Appendix D Linear Operators
- Appendix E Fredholm Operators and the Noether Index
- Appendix F A Brief Overview of Hardy Spaces
- References
- Backmatter
- Index
Summary
Toeplitz matrices and operators, Toeplitz operators on l2(ℤ+).
The existence of the symbol, the discrete Hilbert transform.
The Hankel matrices and operators: the existence of the symbol (Nehari), compact and finite rank Hankel operators.
The Berezin transform, the Garsia norm, the spaces BMO, VMO, H∞ + C and QC, the compact commutators.
- Type
- Chapter
- Information
- Toeplitz Matrices and Operators , pp. 31 - 100Publisher: Cambridge University PressPrint publication year: 2020