A Banach algebra structure on the $q$-Bergman space and related topics

Invariant subspaces of linear operators (47A15) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on function spaces (general) (47B38)

Cites Work

A $q$-analogue of the weighted Bergman space on the disk and associated second $q$-Bargmann transform
On orbits of functions of the Volterra operator
Invariant subspaces of Volterra integration operator: Axiomatical approach
Some results of Katznelson-Tzafriri type
Theorems of Katznelson-Tzafriri type for contractions
On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators
The lattice of invariant subspaces of a completely continuous quasinilpotent transformation
A functional analysis proof of Titchmarsh's theorem on convolution
Description of commutants of integration operator in analytic spaces
Some applications of the Duhamel product
Volterra invariant subspaces of $H^p$
Asymptotic behavior of polynomially bounded operators
On power bounded operators
On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
The Duhamel product of analytic functions
On the Banach algebra structure for $C^{(\mathbf{n})}$ of the bidisc and related topics
Some convergence theorems for operator sequences
The Bergman space as a Banach algebra
On operators commuting with a Pommiez type operator in weighted spaces of entire functions
Some applications of Banach algebra techniques
A Banach Algebra Structure for H^p
On the power boundedness of certain Volterra operator pencils
Some developments around the Katznelson–Tzafriri theorem
On extended eigenvalues and extended eigenvectors of some operator classes
Uniform Abel–Kreiss boundedness and the extremal behaviour of the Volterra operator
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