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Two-isometries and de Branges-Rovnyak spaces

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Publication:496521
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DOI10.1007/s11785-014-0420-0zbMath1343.46024OpenAlexW2317174406MaRDI QIDQ496521

Karim Kellay, Mohamed Zarrabi

Publication date: 22 September 2015

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-014-0420-0


zbMATH Keywords

concave operatorsde Branges-Rovnyak spaceDirichlet-type spacetwo-isometry


Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hardy spaces (30H10)


Related Items

The Cauchy dual subnormality problem via de Branges–Rovnyak spaces ⋮ Higher order local Dirichlet integrals and de Branges-Rovnyak spaces



Cites Work

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  • De Branges-Rovnyak spaces and Dirichlet spaces
  • Which de Branges-Rovnyak spaces are Dirichlet spaces (and vice versa)?
  • Reverse Carleson embeddings for model spaces
  • Weighted norm inequalities for de Branges-Rovnyak spaces and their applications
  • Invariant subspaces of the Dirichlet shift.
  • A Representation Theorem for Cyclic Analytic Two-Isometries
  • A Primer on the Dirichlet Space
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