Mini-course on Operators on Function Spaces - Part 1

Mini-course on Operators on Function Spaces - Part 1

Fields Institute via YouTube Direct link

The numerical range of V

7 of 18

7 of 18

The numerical range of V

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Classroom Contents

Mini-course on Operators on Function Spaces - Part 1

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  1. 1 Intro
  2. 2 The Volterra operator
  3. 3 V is bounded
  4. 4 The role of VV
  5. 5 Compactness
  6. 6 The spectrum of V
  7. 7 The numerical range of V
  8. 8 The commutant
  9. 9 Invariant subspaces - the Gelfand problem
  10. 10 V is complex symmetric
  11. 11 Matrix representation of V
  12. 12 Hardy's inequality
  13. 13 The Cesaro matrix
  14. 14 Adjoint formula
  15. 15 Eigenvalues
  16. 16 Spectrum (and numerical range)
  17. 17 The Cesaro operator is subnormal
  18. 18 Generalizations

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