Power set of some quasinilpotent weighted shifts on \(\ell^p\)

DOI10.1016/j.laa.2024.01.011arXiv2306.00387MaRDI QIDQ6154417

Chaolong Hu, You Qing Ji

Publication date: 15 February 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.00387

zbMATH Keywords

weighted shiftpower setquasinilpotent operatorhyperinvariant subspace

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

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• Hermitian geometry on the resolvent set. II
• A note on strictly cyclic shifts on \(\ell_p\)
• On the hyperinvariant subspace problem
• Quasinilpotent operators and non-Euclidean metrics
• Power set of some quasinilpotent weighted shifts
• Power set and invariant subspaces of cyclic quasinilpotent operators
• Strictly cyclic operator algebras on a Banach space
• Quasinilpotent Operators and the Invariant Subspace Problem
• Hermitian Geometry on Resolvent Set

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