$m$-Berezin transform and compact operators
نویسندگان
چکیده
منابع مشابه
Compact Operators via the Berezin Transform
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 ∂D. This result is new even when S equals a single Toeplitz operator. Our main result can be used to prove, via a unified approach, several previously known results about compact Toeplitz oper...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2006
ISSN: 0213-2230
DOI: 10.4171/rmi/477