Geodesic
On the solution of the operator Riccati equations and invariant subspaces in the weighted Bergman space of the unit ball
Filomat, Tome 37 (2023) no. 21, p. 7303

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DOI

We consider the Riccati operator equations on the weighted Bergman space A 2 α (B n) of the unit ball B n in C n and investigate the properties of their solutions. Our discussion uses the Berezin symbols method.
DOI : 10.2298/FIL2321303T
Classification : 47B35
Keywords: Bergman space, Riccati operator equation, Berezin symbol, Toeplitz operator, Invariant subspace, Reproducing kernel 
Ramiz Tapdigoglu; Mehmet Gürdal; Nur Sarı. On the solution of the operator Riccati equations and invariant subspaces in the weighted Bergman space of the unit ball. Filomat, Tome 37 (2023) no. 21, p. 7303 . doi: 10.2298/FIL2321303T
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     title = {On the solution of the operator {Riccati} equations and invariant subspaces in the weighted {Bergman} space of the unit ball},
     journal = {Filomat},
     pages = {7303 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321303T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321303T/}
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