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Some applications of Berezin θ-sequences and Berezin symbols
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We consider the so-called Berezin ?-sequence, where ? is an operator valued
inner function, for operators on the vector valued Hardy space H2E (D), and
study the invertibility of some operators on the model space K? = H2E ? ?H2E
via Berezin ?-sequence. By applying of Berezin symbols technique the
Toeplitz corona problem in the Bergman space L2a(D) is studied. Moreover,
C-invertibility and C-unitarity of operators are also defined and
studied.
Title: Some applications of Berezin θ-sequences and Berezin symbols
Description:
We consider the so-called Berezin ?-sequence, where ? is an operator valued
inner function, for operators on the vector valued Hardy space H2E (D), and
study the invertibility of some operators on the model space K? = H2E ? ?H2E
via Berezin ?-sequence.
By applying of Berezin symbols technique the
Toeplitz corona problem in the Bergman space L2a(D) is studied.
Moreover,
C-invertibility and C-unitarity of operators are also defined and
studied.
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