REMARKS ON ℓ1 AND -MAXIMAL REGULARITY FOR POWER-BOUNDED OPERATORS

Journal of the Australian Mathematical Society

N. J. KALTON¹ 

[1] P. PORTAL

关键词: 47A30;    47A60;    47D06;    39A12;   

DOI  :  10.1017/S1446788708000712

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We discuss ℓp-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 ℓ1 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 -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.

【 授权许可】

Unknown