Computing the Fredholm index of Toeplitz operators with continuous symbols

Feldman, Nathan; McGuire, Paul

doi:10.1090/S0002-9939-04-07642-7

Computing the Fredholm index of Toeplitz operators with continuous symbols
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by Nathan S. Feldman and Paul McGuire PDF

Proc. Amer. Math. Soc. 133 (2005), 1357-1364 Request permission

Abstract:

We show how to compute the Fredholm index of a Toeplitz operator with a continuous symbol constructed from any subnormal operator with compact self-commutator. We also show that the essential spectral pictures of such Toeplitz operators can be prescribed arbitrarily.

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