Toeplitz operators on the domain $\{Z\in M_{2\times 2}(\mathbb{C})\mid Z{Z}^{\ast }<I\}$ with $\mathrm{U}(2)\times {\mathbb{T}}^2$-invariant symbols

Matthew Dawson, Gestur Olafsson, Raul Quiroga-Barranco

Let $D$ be the irreducible bounded symmetric domain of $2\times 2$ complex matrices that satisfy $Z{Z}^{\ast }<I_2$. The biholomorphism group of $D$ is realized by $\mathrm{U}(2,2)$ with…