Closed range Volterra-type integral operators and dynamical sampling
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3051421Utgivelsesdato
2022Metadata
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Originalversjon
10.1007/s00605-022-01768-0Sammendrag
We solve the closed range problem for Volterra-type integral operator on Fock spaces. Several applications of the result related to the operators invertibility, Fredholm, and dynamical sampling structures from frame perspectives are provided. We further prove a bounded Volterra-type integral operator preserves no frame property. On the contrary, the adjoint operator preserves frame if and only if it is noncompact but fails to preserve both tight frames and Riesz basis.