Invariant subspaces of powers of some unicellular operators

MaRDI QIDQ2699840

Dinesh Singh, Sneh Lata, Sushant Pokhriyal

Publication date: 19 April 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00252

zbMATH Keywords

invariant subspaceweighted shiftsjoint-invariant subspaceunicellular operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Operators on Hilbert spaces (general) (47B02)

Cites Work

• The lattice of invariant subspaces of a completely continuous quasinilpotent transformation
• A study on the unicellularity of some lower triangular operators
• Invariant subspaces of weighted shift operators
• Multivariable sub-Hardy Hilbert spaces invariant under the action of \(n\)-tuple of finite Blaschke factors
• On two problems concerning linear transformations in Hilbert space
• Unicellularity of the multiplication operator on Banach spaces of formal power series
• On Rosenthal-Shields' problem
• A Class of Sub-Hardy Hilbert Spaces Associated with Weighted Shifts
• A Unicellular Universal Quasinilpotent Weighted Shift
• On a Characterization of Invariant Subspace Lattices of Weighted Shifts
• On the Unicellularity of Weighted Shifts
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