Commutators on $(∑ ℓ_{q})_{p}$

Dongyang Chen; William B. Johnson; Bentuo Zheng

Commutators on

{(\sum ℓ_{q})}_{p}

Dongyang Chen ; William B. Johnson ; Bentuo Zheng

Studia Mathematica, Tome 204 (2011), p. 175-190 / Harvested from The Polish Digital Mathematics Library

Access to full text
Full (PDF)

Résumé

Let T be a bounded linear operator on $X = {(\sum ℓ_{q})}_{p}$ with 1 ≤ q < ∞ and 1 < p < ∞. Then T is a commutator if and only if for all non-zero λ ∈ ℂ, the operator T - λI is not X-strictly singular.

Publié le : 2011-01-01

Zbl 1232.47031

EUDML-ID : urn:eudml:doc:285472

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-2-5,
     author = {Dongyang Chen and William B. Johnson and Bentuo Zheng},
     title = {Commutators on $([?] l\_{q})\_{p}$
            },
     journal = {Studia Mathematica},
     volume = {204},
     year = {2011},
     pages = {175-190},
     zbl = {1232.47031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-2-5}
}

Dongyang Chen; William B. Johnson; Bentuo Zheng. Commutators on $(∑ ℓ_{q})_{p}$
            . Studia Mathematica, Tome 204 (2011) pp. 175-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-2-5/