Commutators on ${\left(\sum {\ell }_q\right)}_p$

Dongyang Chen, William B. Johnson, and Bentuo Zheng. "Commutators on $(∑ ℓ_{q})_{p}$." Studia Mathematica 206.2 (2011): 175-190. <http://eudml.org/doc/285472>.

@article{DongyangChen2011,
abstract = {Let T be a bounded linear operator on $X = (∑ ℓ_\{q\})_\{p\}$ 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.},
author = {Dongyang Chen, William B. Johnson, Bentuo Zheng},
journal = {Studia Mathematica},
keywords = {commutators; maximal ideal; strictly singular operators: Wintner space; Wild conjecture},
language = {eng},
number = {2},
pages = {175-190},
title = {Commutators on $(∑ ℓ_\{q\})_\{p\}$},
url = {http://eudml.org/doc/285472},
volume = {206},
year = {2011},
}

TY - JOUR
AU - Dongyang Chen
AU - William B. Johnson
AU - Bentuo Zheng
TI - Commutators on $(∑ ℓ_{q})_{p}$
JO - Studia Mathematica
PY - 2011
VL - 206
IS - 2
SP - 175
EP - 190
AB - Let T be a bounded linear operator on $X = (∑ ℓ_{q})_{p}$ 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.
LA - eng
KW - commutators; maximal ideal; strictly singular operators: Wintner space; Wild conjecture
UR - http://eudml.org/doc/285472
ER -