Remarks on `1 and `∞-maximal Regularity for Power-bounded Operators
نویسنده
چکیده
We discuss `p-maximal regularity of power-bounded operators and relate the discrete to the continuous time problem for analytic semigroups. We give a complete characterization of operators with `1 and `∞-maximal regularity. We also introduce an unconditional form of Ritt’s condition for power-bounded operators, which plays the role of the existence of an H-calculus, and give a complete characterization of this condition in the case of Banach spaces which are L1-spaces, C(K )-spaces or Hilbert spaces. 2000 Mathematics subject classification: 47A30, 47A60, 47D06, 39A12.
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تاریخ انتشار 2008