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