@Article{Ghosh2024,
author = "Ghosh, Sagar and Misra, Gadadhar",
title = "On the Möbius invariant principal functions of Pincus",
journal = "Opuscula Math.",
year = "2024",
volume = "44",
number = "3",
pages = "391--407",
doi = "https://doi.org/10.7494/OpMath.2024.44.3.391",
url = "https://doi.org/10.7494/OpMath.2024.44.3.391",
abstract = "In this semi-expository short note, we prove that the only homogeneous pure hyponormal operator \(T\) with \(\operatorname{rank} (T^*T-TT^*) =1\), modulo unitary equivalence, is the unilateral shift.",
keywords = "hyponormal operator, multiplicity, trace formula, homogeneous operators, principal function",
issn = "1232-9274"
}