@article{oai:ynu.repo.nii.ac.jp:00006993,
 author = {Georgescu, Paul and Shioji, Naoki},
 issue = {1},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, If  alpha in(0,1) is given and T_{1}= {T_{1}(t);t geq 0 }, T_{2}= {T_{2}(t);t geq 0 } are C_{0}-semigroups defined on a real Banach space (X, | cdot| ), we indicate sufficient conditions for the existence of x_{ alpha} in X such that |T_{1}(t)x_{ alpha}-T_{2}(t)x_{ alpha}|=O(t^{ alpha}) and |T_{1}(t)x_{ alpha}-T_{2}(t)x_{ alpha}| neq o(t^{ alpha}) as t rightarrow 0+ , that is, for which the approximation rate O(t^{ alpha}) is sharp.},
 pages = {37--43},
 title = {A NOTE ON THE SHARPNESS OF NONOPTIMAL COMPARISON RATES FOR C_{0}-SEMIGROUPS},
 volume = {51},
 year = {2004}
}