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arXiv · 1211.0812

Once More on Positive Commutators

Roman Drnovšek
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Abstract

Let A and B be bounded operators on a Banach lattice E such that the commutator C=AB-BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of closed ideals of E. This theorem answers an open question posed in a paper by Bračič, Drnovšek, Farforovskaya, Rabkin and Zemánek.

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Roman Drnovšek. 2012-11-05. Once More on Positive Commutators. https://arxiv.org/abs/1211.0812

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