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  • Print publication year: 2020
  • Online publication date: December 2019

2 - Hankel and Toeplitz: Sibling Operators on the Space H2

Summary

Toeplitz matrices and operators, Toeplitz operators on l2(ℤ+).

The existence of the symbol, the discrete Hilbert transform.

The Hankel matrices and operators: the existence of the symbol (Nehari), compact and finite rank Hankel operators.

The Berezin transform, the Garsia norm, the spaces BMO, VMO, H + C and QC, the compact commutators.

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