Geodesic
Some applications of Berezin θ−sequences and Berezin symbols
Filomat, Tome 35 (2021) no. 11, p. 3703

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DOI

We consider the so-called Berezin θ− sequence, where θ is an operator valued inner function, for operators on the vector valued Hardy space H 2 E (D) , and study the invertibility of some operators on the model space K θ = H 2 E θH 2 E via Berezin θ− sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space L 2 a (D) is studied. Moreover, C− invertibility and C−unitarity of operators are also defined and studied
DOI : 10.2298/FIL2111703A
Classification : 47A12
Keywords: Berezin symbol, Berezin θ− sequence, model operator, Toeplitz operator, Riesz basis, Toeplitz corona problem, C−unitary operator 
N Altwaijry; M Garayev; A Baazeem. Some applications of Berezin θ−sequences and Berezin symbols. Filomat, Tome 35 (2021) no. 11, p. 3703 . doi: 10.2298/FIL2111703A
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     author = {N Altwaijry and M Garayev and A Baazeem},
     title = {Some applications of {Berezin} \ensuremath{\theta}\ensuremath{-}sequences and {Berezin} symbols},
     journal = {Filomat},
     pages = {3703 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111703A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111703A/}
}
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