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