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arXiv · 1312.6023

More elementary operators that are spectrally bounded

Nadia Boudi·Martin Mathieu
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Abstract

We discuss some necessary and some sufficient conditions for an elementary operator $x\mapsto\sum_{i=1}^n a_ixb_i$ on a Banach algebra $A$ to be spectrally bounded. In the case of length three, we obtain a complete characterisation when $A$ acts irreducibly on a Banach space of dimension greater than three.

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Nadia Boudi, Martin Mathieu. 2013-12-20. More elementary operators that are spectrally bounded. https://arxiv.org/abs/1312.6023

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