Commuting Tuple of Multiplication Operators Homogeneous under the Unitary Group

Soumitra Ghara, Surjit Kumar, Gadadhar Misra +1

Let $\mathcal{U}(d)$ be the group of $d\times d$ unitary matrices. We find conditions to ensure that a $\mathcal{U}(d)$-homogeneous $d$-tuple $\mathbf{T}$ is unitarily equivalent…