On the C ∗ C^* -algebra of Toeplitz operators on the quarterplane Academic Article uri icon

abstract

  • Using the device of the tensor product of C*-algebras, we study the C*-algebra generated by the Toeplitz operators on the quarter-plane. We obtain necessary and sufficient conditions for such an operator to be Fredholm, but show in this case that not all such operators are invertible. © 1971 American Mathematical Society.

author list (cited authors)

  • Douglas, R. G., & Howe, R.

publication date

  • January 1, 1971 11:11 AM