Ghosh, SagarSagarGhoshMisra, GadadharGadadharMisra2025-08-282025-08-281232-927410.7494/OpMath.2024.44.3.391https://d8.irins.org/handle/IITG2025/19379In this semi-expository short note, we prove that the only homogeneous pure hyponormal operator T with rank(T*T - TT*) = 1, modulo unitary equivalence, is the unilateral shift.en-USMathematicsArticlehttps://doi.org/10.7494/opmath.2024.44.3.3912300-6919391-407Article0WOS:001193647000006