Title of article
Functional calculus under the Tadmor–Ritt condition, and free interpolation by polynomials of a given degree
Author/Authors
Pascale Vitse، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
30
From page
43
To page
72
Abstract
For Banach space operators T satisfying the Tadmor–Ritt condition ||(zI−T)−1||⩽C|z−1|−1, |z|>1, we prove that the best-possible constant CT(n) bounding the polynomial calculus for T, ||p(T)||⩽CT(n)||p||∞, deg(p)⩽n, behaves (in the worst case) as log n as n→∞. This result is based on a new free (Carleson type) interpolation theorem for polynomials of a given degree
Keywords
Tadmor and Ritt conditions , Functional calculus , Power bounded , Cauchy–Stieltjes integrals , Basis and unconditional basis constants , Carleson type free interpolation by polynomials , Multipliers
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
761765
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