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Volume :7 Issue : 1 1980
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The spectrum of a class of Toeplitz operators
Auther : ROSHDI KHALIL AND 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 spectrum of a Toeplitz operator T ّ defined on the Hardy space H2 (S), with real-valued symbol ّ, is the closed interval [ess inf ّ, ess sup ّ]