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《Acta Analysis Functionalis Applicata》 2004-01
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On Cosine Operator Functon C(t) such that C(t)-I is Compact

YAO Jing-qi Academy of Mathematics and Systems Science, CAS, Beijing 100080, China  
Let C(t), t∈R, be a strongly continuous cosine operator function on Banach space X, and A its generator. We prove in this note that C(t)-I is compact for every t∈R if and only if A is a compact operator.
【Fund】: 国家自然科学基金(10071088)
【CateGory Index】: O177
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【References】
Chinese Journal Full-text Database 1 Hits
1 LANG Kai-lu(Department of Mathematics,Chuxiong Normal University,Chuxiong 675000,China);A Note on C-Cosine Operator Functions[J];Journal of Chuxiong Normal University;2009-09
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Yao Jingqi(Institute of Mathematics, Academia Sinica, Beijing 100080, P.R. China);A Note on Cosine Operator Functions[J];ACTA MATHEMATICA SINICA;1999-03
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