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


  • Using the device of the tensor product of C {C^ ast } -algebras, we study the C {C^ ast } -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.

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Douglas, R. G., & Howe, R.

citation count

  • 41

complete list of authors

  • Douglas, RG||Howe, Roger

publication date

  • January 1971