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math.FA2026
Normaloid Operators and the Root Problem
B. P. Duggal, C. S. Kubrusly, H. M. Stankovic
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 inc…
math.FA2026
Posinormality and the Root Problem
C. S. Kubrusly, H. M Stankovic
The paper extends three results regarding the nth root problem by embedding classes of Hilbert-space operators into the class of posinormal operators. For instance, it is shown tha…