A counterexample to the Γ-interpolation conjecture

• Autorzy: Adama S. Kamara
• Języki publikacji: EN

Abstrakty

EN

Agler, Lykova and Young introduced a sequence $C_ν$, where ν ≥ 0, of necessary conditions for the solvability of the finite interpolation problem for analytic functions from the open unit disc 𝔻 into the symmetrized bidisc Γ. They conjectured that condition $C_{n-2}$ is necessary and sufficient for the solvability of an n-point interpolation problem. The aim of this article is to give a counterexample to that conjecture.

Kategorie tematyczne

• 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 30E05: Moment problems, interpolation problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 2
• Strony: 115-121

Daty

wydano

2015

Twórcy

autor

Adama S. Kamara

• Département de Mathématiques et de Statistique, Université Laval, 1045 Avenue de la Médecine, Québec, QC, Canada G1V 0A6

Identyfikatory

DOI

10.4064/ap114-2-2