Radial Toeplitz Operators on the Fock Space and Square-Root-Slowly Oscillating Sequences

In this paper we show that the C*-algebra generated by radial Toeplitz operators with L_∞-symbols acting on the Fock space is isometrically isomorphic to the C*-algebra of bounded sequences uniformly continuous with respect to the square-root-metric ρ(j,k)=|j-k|. More precisely, we prove that the sequences of eigenvalues of radial Toeplitz operators form a dense subset of the latter C*-algebra of sequences.