Mini-course on Operators on Function Spaces - Part 2

Mini-course on Operators on Function Spaces - Part 2

Fields Institute via YouTube Direct link

Analytic Toeplitz operators

15 of 20

15 of 20

Analytic Toeplitz operators

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Classroom Contents

Mini-course on Operators on Function Spaces - Part 2

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  1. 1 Intro
  2. 2 Multiplication operators on
  3. 3 All of the multiplication operators?
  4. 4 Matrix representation - Converse
  5. 5 The bilateral shift
  6. 6 Trigger warning
  7. 7 Definition of a Toeplitz operator
  8. 8 Two special Toeplitz operators
  9. 9 Matrix representation of T
  10. 10 Toeplitz matrices
  11. 11 Adjoint
  12. 12 Brown-Halmos theorem
  13. 13 Compactness
  14. 14 Special note
  15. 15 Analytic Toeplitz operators
  16. 16 The commutant of the unilateral shift T.
  17. 17 Back to the spectrum
  18. 18 Kernel of a Toeplitz operator
  19. 19 Nearly invariant
  20. 20 An inspirational result of Hilbert

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