The theory of H(b) spaces. [E-Book] / Emmanuel Fricain, Javad Mashreghi. Volume 1
Fricain, Emmanuel, (author)
Mashreghi, Javad, (author)
Cambridge : Cambridge University Press, 2016
1 online resource (xix, 681 pages)
New mathematical monographs ; 20
Full Text
Table of Contents:
  • Machine generated contents note: 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 KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index.