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Crouzeix’s conjecture

Edited by Felix Schwenninger

    Sections

    1. 1. Investigation of the Crouzeix-Palencia proof
    2. 2. 3\times3 matrix and dilation theory
    3. 3. Barycentric approximation to solve the conjecture
    4. 4. Lemniscates = \Omega
    5. 5. Similarity transformation approach
    6. 6. Ideas that do not seem to work
    7. 7. Related open problems
    8. 8. Optimal constant dependence for Ritt-operators
    9. 9. Inverse numerical range problems
    10. 10. K-spectral sets for \Omega\not\subset W(A)
    11. 11. Mapping theorems for numerical range
    12. 12. Joint numerical ranges
    13. 13. Understanding properties of extremal Blaschke products
    1. Bibliography

      Cite this as: AimPL: Crouzeix’s conjecture, available at http://aimpl.org/crouzeix.