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arXiv · 1401.7244

$k$-reflexivity defect of the image of a generalized derivation

Tina Rudolf
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Abstract

Let $\mathcal{X}$ be a finite-dimensional complex vector space and let k be a positive integer. An explicit formula for the k-reflexivity defect of the image of a generalized derivation on $L(\mathcal{X})$, the space of all linear transformations on $\mathcal{X}$, is given. Using latter, we also study the k-reflexivity defect of the image of an elementary operator of the form $Δ(T)=ATB-T$ $(T \in L(\mathcal{X}))$.

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Tina Rudolf. 2014-01-28. $k$-reflexivity defect of the image of a generalized derivation. https://arxiv.org/abs/1401.7244

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