On the topology of invariant subspaces of a shift of higher multiplicity

DOI10.1007/S00020-013-2067-ZzbMath1286.47005arXiv1101.3034OpenAlexW2022476756MaRDI QIDQ361906

Giorgi Shonia

Publication date: 19 August 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3034

zbMATH Keywords

Hardy spaceinvariant subspaceBeurling's theoremcontinuous pathlattice of invariant subspacesunilateral shift operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Cites Work

• Unnamed Item
• Translation invariant spaces
• Inner functions under uniform topology
• A cross section from invariant subspaces to inner functions
• On a topology for invariant subspaces
• Harmonic analysis of operators on Hilbert space
• On two problems concerning linear transformations in Hilbert space
• Shifts on Hilbert spaces.
• Notes on invariant subspaces

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