R-bounded Approximating Sequences and Applications to Semigroups
نویسندگان
چکیده
It is shown that on certain Banach spaces, including C[0,1] and L1[0,1], there is no strongly continuous semigroup (Tt )0<t<1 consisting of weakly compact operators such that (Tt )0<t<1 is an R-bounded family. More general results concerning approximating sequences are included and some variants of R-boundedness are also discussed. 2004 Elsevier Inc. All rights reserved.
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تاریخ انتشار 2002