Invariant subspaces of arbitrary multiplicity for the shift on $\ell ^1$

DOI10.1090/S0002-9939-00-05759-2zbMath1038.47023MaRDI QIDQ2718956

Aharon Atzmon

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

multiplicityinvariant subspaceunilateral shift

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Ideals, maximal ideals, boundaries (46J20)

Related Items (2)

Maximal, minimal, and primary invariant subspaces ⋮ Shift invariant subspaces with arbitrary indices in \(\ell^p\) spaces

Cites Work

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• On two problems concerning linear transformations in Hilbert space
• Invariant Subspaces in Banach Spaces of Analytic Functions
• Invariant subspaces of given index in Banach spaces of analytic functions
• Translation invariant subspaces of $L^{p}(G)$

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