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Corrigendum to "Commutators on $(∑ℓ_{q})_{p}$" (Studia Math. 206 (2011), 175-190)

100%

Chen D., Johnson W., Zheng B.

Studia Mathematica

2014

tom 223

nr 2

187-191

We give a corrected proof of Theorem 2.10 in our paper "Commutators on $(∑ℓ_{q})_{p}$" [Studia Math. 206 (2011), 175-190] for the case 1 < q < p < ∞. The case when 1 = q < p < ∞ remains open. As a consequence, the Main Theorem and Corollary 2.17 in that paper are only valid for 1 < p,q < ∞.

Commutators on $(∑ ℓ_{q})_{p}$

100%

Chen D., Johnson W., Zheng B.

Studia Mathematica

2011

tom 206

nr 2

175-190

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.

Ograniczanie wyników

2 Studia Mathematica

2 Chen D.

2 Johnson W.

2 Zheng B.

1 2014

1 2011

Wyniki wyszukiwania

Corrigendum to "Commutators on $(∑ℓ_{q})_{p}$" (Studia Math. 206 (2011), 175-190)

Commutators on $(∑ ℓ_{q})_{p}$