Emmanuel Fricain is a Professor in the Laboratoire Paul Painlevé at Université Lille 1. A part of his research focuses on the interaction between complex analysis and operator theory, which is the main matter of this book. He has a long experience of teaching numerous graduate courses on different aspects of analytic Hilbert spaces and has published several papers on H(b) spaces in high-quality journals, making him a world specialist in this subject.
Inhaltsangabe
List of figures Preface List of symbols Important conventions 1. *Normed linear spaces and their operators 2. Some families of operators 3. Harmonic functions on the open unit disc 4. Analytic functions on the open unit disc 5. The corona problem 6. Extreme and exposed points 7. More advanced results in operator theory 8. The shift operator 9. Analytic reproducing kernel Hilbert spaces 10. Bases in Banach spaces 11. Hankel operators 12. Toeplitz operators 13. Cauchy transform and Clark measures 14. Model subspaces K¿ 15. Bases of reproducing kernels and interpolation Bibliography Index.
List of figures Preface List of symbols Important conventions 1. *Normed linear spaces and their operators 2. Some families of operators 3. Harmonic functions on the open unit disc 4. Analytic functions on the open unit disc 5. The corona problem 6. Extreme and exposed points 7. More advanced results in operator theory 8. The shift operator 9. Analytic reproducing kernel Hilbert spaces 10. Bases in Banach spaces 11. Hankel operators 12. Toeplitz operators 13. Cauchy transform and Clark measures 14. Model subspaces K¿ 15. Bases of reproducing kernels and interpolation Bibliography Index.
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