$C\_\{\textperiodcentered 0\}$-contractions: a Jordan model and lattices of invariant subspaces

DOI10.1090/S1061-0022-04-00831-3zbMath1061.47012OpenAlexW1577794148MaRDI QIDQ4831268

M. F. Gamal'

Publication date: 29 December 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-04-00831-3

zbMATH Keywords

invariant subspacesseparable Hilbert spacesJordan modelquasiaffine transformation\(C_{\cdot0}\)-contractionsproperty (P) for \(C_{0}\)-contractions

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Cites Work

• Quasimilarity of model contractions with unequal defects
• On the quasi-similarity of hyponormal contractions
• Operator algebras and lattices of invariant subspaces. I
• Quasisimilar weak contractions have isomorphic lattices of invariant subspaces
• Lattices of invariant subspaces for a quasiaffine transform of a unilateral shift of finite multiplicity
• Invariant subspaces and unstarred operator algebras
• Weak-star generators of \(H^ \infty\)
• On Quasiaffine Transforms of Unilateral Shifts
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