Mathematics > Functional Analysis
arXiv:2606.19738 (math)
[Submitted on 18 Jun 2026]
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.
Submission history
From: Carlos Kubrusly [view email]
[v1]
Thu, 18 Jun 2026 03:06:28 UTC (17 KB)
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