On the Möbius invariant principal functions of Pincus

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.

Bibliographic Details
Main Authors: Sagar Ghosh, Gadadhar Misra
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2024-02-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol44/3/art/opuscula_math_4420.pdf