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On approximations by Toeplitz operators. (English) Zbl 1010.47016
The author studies the classes of compact Toeplitz operators on several generalized Bergman-Hardy spaces. It is shown that the set of compact Toeplitz operators is dense in the space of all compact operators. The case of $$p$$-Schatten class Toeplitz operators is also considered.
##### MSC:
 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.)
##### Keywords:
Toeplitz operators; approximation; Bergman-Hardy spaces
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