Hyperinvariant closed ideals for a finitely quasinilpotent collection of operators

DOI10.1134/S0001434622070318WikidataQ114075375 ScholiaQ114075375MaRDI QIDQ2170520

Jun-Feng Liu

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

invariant subspaceinvariant idealquasinilpotent operator\( \ell_p\)-spaceoperator with modulus

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Cites Work

• Irreducible compact operators
• Banach lattices
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• Modulus hyperinvariant subspaces for quasinilpotent operators at a non-zero positive vector on \(l_{ p}\)-spaces
• Invariant subspaces of polynomially compact operators
• Invariant subspaces of completely continuous operators

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