Opuscula Mathematica (Feb 2024)

On the Möbius invariant principal functions of Pincus

  • Sagar Ghosh,
  • Gadadhar Misra

DOI
https://doi.org/10.7494/OpMath.2024.44.3.391
Journal volume & issue
Vol. 44, no. 3
pp. 391 – 407

Abstract

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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.

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