Wandering subspace property for homogeneous invariant subspaces

DOI10.1215/17358787-2018-0052zbMath1482.47005arXiv1807.00475OpenAlexW2963207492WikidataQ128233970 ScholiaQ128233970MaRDI QIDQ1738189

Jörg Eschmeier

Publication date: 29 March 2019

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00475

zbMATH Keywords

minimal sets of generatorsgraded Hilbert spaceshomogeneous invariant subspacesshift-like commuting tupleswandering subspacesweak resolutions

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15)

Related Items (1)

Jörg Eschmeier's mathematical work

Cites Work

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• Grothendieck's comparison theorem and multivariable Fredholm theory
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Beurling's theorem for the Bergman space
• Free resolutions in multivariable operator theory.
• Quasi-free resolution of Hilbert modules
• Bergman inner functions and \(m\)-hypercontractions
• The free cover of a row contraction
• Dilations, wandering subspaces, and inner functions
• Shifts on Hilbert spaces.
• On the failure of optimal factorization for certain weighted bergman spaces
• Standard Models for some Commuting Multioperators
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces
• Interpolating sequences and invariant subspaces of given index in the Bergman spaces.

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