Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1984-06-30
Fredholmness and finite section method for Toeplitz operators in $l^p (Z_+ \times Z_+)$ with piecewise continuous symbols IIAlbrecht Böttcher (1) Technische Universität Chemnitz, Germany
In this paper we prove sufficient conditions for Fredholmness of discrete Toeplitz operators with piecewise continuous symbols on the space $l^p$ over the quarter-plane and for the applicability of the finite section method to such operators. The methods used here are based on a bilocalization technique and the local principle of Douglas and Krupnik. Part I of this work contained the proofs of the necessity of the corresponding conditions, the necessary definitions, and the formulation of the main results.
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Böttcher Albrecht: Fredholmness and finite section method for Toeplitz operators in $l^p (Z_+ \times Z_+)$ with piecewise continuous symbols II. Z. Anal. Anwend. 3 (1984), 193-202. doi: 10.4171/ZAA/100