Toeplitz Operator with a Finite Number of Horizontal Symbols Acting on the Poly-Fock Spaces
摘要
We study the \(C^*\) -algebra generated by Toeplitz operators with extended horizontal symbols acting on the Poly-Fock spaces of the complex plane. We show that this \(C^*\) -algebra coincides with the algebra generated by a finite number of Toeplitz operators with horizontal symbols, without the need for the explicit calculation of the spectral functions.