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Volume :8 Issue : 1 1981
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On the invertibility of a class of Toeplitz operators
Auther : NAZIH FAOUR
Department of Mathematics, University of Kuwait
ABSTRACT
Let S be the unit sphere in the n-dimensional complex space Cn. In this paper it is shown that the Toeplitz operator Tø* defined on the Hardy space H2(S) with symbol ø*an element in H ∞( S ) such that (ø*)-1 exists in L ∞ (S) is Fredholm. Moreover (ø*)-1 is in H ∞ (S).