mmm-Berezin transform and compact operators (original) (raw)
2000, Revista Matemática Iberoamericana
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Compact Operators via the Berezin Transform
Indiana University Mathematics Journal, 1998
In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even when S equals a single Toeplitz operator. Our
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