Geodesic
Commutators on $(\sum \ell_q)_p$
Dongyang Chen1 ; William B. Johnson2 ; Bentuo Zheng3
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.
Studia Mathematica, Tome 206 (2011) no. 2, pp. 175-190
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm206-2-5
Keywords: bounded linear operator sum ell infty infty commutator only non zero lambda mathbb operator t lambda x strictly singular

Dongyang Chen  1   ; William B. Johnson  2   ; Bentuo Zheng  3

1 School of Mathematical Sciences Xiamen University Xiamen, 361005, China
2 Department of Mathematics Texas A&M University College Station, TX 77843, U.S.A.
3 Department of Mathematical Sciences The University of Memphis Memphis, TN 38152, U.S.A. 
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Dongyang Chen; William B. Johnson; Bentuo Zheng. Commutators on $(\sum \ell_q)_p$. Studia Mathematica, Tome 206 (2011) no. 2, pp. 175-190. doi: 10.4064/sm206-2-5

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