Commutators on $(\sum \ell_q)_p$
作者: Dongyang ChenWilliam B. JohnsonBentuo Zheng
作者单位: 1School of Mathematical Sciences Xiamen University Xiamen, 361005, China
2Department of Mathematics Texas A&M University College Station, TX 77843, U.S.A.
3Department of Mathematical Sciences The University of Memphis Memphis, TN 38152, U.S.A.
刊名: Studia Mathematica, 2011, Vol.206 , pp.175-190
来源数据库: Institute of Mathematics Polish Academy of Sciences
DOI: 10.4064/sm206-2-5
原始语种摘要: Let $T$ be a bounded linear operator on $X=(\sum \ell_{q})_{{p}}$ with $1\le q < \infty$and $1< p< \infty$. Then $T$ is a commutator if and only if for all non-zero $\lambda\in \mathbb{C}$, the operator$T-\lambda I$ is not $X$-strictly singular.
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关键词翻译
关键词翻译
  • operator 话务员
  • commutator 换向器
  • strictly 严密地
  • bounded 有界的
  • sum 
  • lambda 朗达海洋水文定位系统
  • singular 奇异的
  • only 唯一的
  • linear 线形的