Separately Radial Fock-Carleson Type Measures for Derivatives of Order k Kevin Esmeral Dedicated to Nikolai L.Vasilevski, professor, mentor, coworker and friend, on the occasion of his 70th birthday Abstract The separately radial Fock-Carleson type measures for derivatives of order k are introduced and characterized on the Fock space. Also, we study the separately radial Toeplitz operators generated by derivatives of k-FC type measure and give a criterion for Toeplitz operators to be separately radial. Finally, we show that the C*-algebra generated by these Toeplitz operators is isometrically isomorphic to a C*-subalgebra of the bounded sequences. Keywords Fock space · Toeplitz operators · Separately radial Mathematics Subject Classification (2010) 47A75 (primary), 58J50 (secondary) 1 Introduction In linear algebra an infinite Toeplitz matrix T is defined by the rule: T = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ a 0 a −1 a −2 ... a 1 a 0 a −1 . . . a 2 a 1 a 0 . . . . . . . . . . . . . . . ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ , K. Esmeral () Department of Mathematics, Universidad de Caldas, Manizales, Colombia e-mail: kevin.esmeral@ucaldas.edu.co © Springer Nature Switzerland AG 2020 W. Bauer et al. (eds.), Operator Algebras, Toeplitz Operators and Related Topics, Operator Theory: Advances and Applications 279, https://doi.org/10.1007/978-3-030-44651-2_10 103