In this report we want to describe some results we have recently obtained on the invertibility of Toeplitz and Wiener—Hopf operators. In our exposition we try to place our results in the context of what is presently known about this problem. Since our principal aim is to clarify the ideas and techniques involved, a proof will be sketched in some instances, while in others the proof is omitted altogether. Complete proofs will appear elsewhere.


Toeplitz Operator Banach Algebra Singular Integral Operator Fredholm Operator Connected Subset 
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Copyright information

© Springer Basel AG 1969

Authors and Affiliations

  • R. G. Douglas
    • 1
  1. 1.Mathematics DepartmentUniversity of MichiganUSA

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