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arXiv · 2606.19738

Normaloid Operators and the Root Problem

B. P. Duggal·C. S. Kubrusly·H. M. Stankovic
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Abstract

The paper extends previous results on the nth root problem to a large class of Hilbert-space operators, namely, the class of all normaloid operators with normaloid parts, which includes the paranormal operators, and also the $k$-paranormal operators. It is shown that if a normaloid operator with normaloid parts has a normal nth power, then it is normal.

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B. P. Duggal, C. S. Kubrusly, H. M. Stankovic. 2026-06-18. Normaloid Operators and the Root Problem. https://arxiv.org/abs/2606.19738

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