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

3 - H2 Theory of Toeplitz Operators

Summary

The Toeplitz algebra, semi-commutators and symbolic calculus, index and Cauchy topological index, homotopy of symbols.

dist(f, H) and dist(f, H + C), local principle, local distances.

The spectrum and essential spectrum of Toeplitz operators, sectorial and locally sectorial symbols, spectral inclusions.

Wiener–Hopf factorization.

Self-adjoint Toeplitz operators, Hankel operators in the Toeplitz algebra.

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