Ranks of cross-commutators and unitary module maps

DOI10.1007/s40315-018-0239-1OpenAlexW2798245028MaRDI QIDQ1791087

Yuko Izuchi, Kou Hei Izuchi, Kei-Ji Izuchi

Publication date: 4 October 2018

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-018-0239-1

zbMATH Keywords

invariant subspacebackward shift invariant subspaceHardy space over the bi-diskrank of cross-commutatorunitary module map

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Cites Work

• Invariant subspaces in the polydisk
• The core operator and congruent submodules
• The Validity of Beurling Theorems in Polydiscs
• Operator theory in the Hardy space over the bidisk. III
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