Nonnormal dilations, disconjugacy and constrained spectral factorization

DOI10.1007/BF01682993zbMath0443.47008MaRDI QIDQ1144249

J. William Helton, Joseph A. Ball

Publication date: 1980

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

zbMATH Keywords

Sturm-Liouville operatordisconjugacyJordan operatorcoadjoint operatorconstrained spectral factorizationnonnormal dilationssub-Jordan operator

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20)

Related Items (13)

A remark on the Cowen Douglas classes \(B_ n(\Omega)\) ⋮ On higher order selfadjoint operators ⋮ Classification of hereditary matrices ⋮ Exponentially \(m\)-isometric operators on Hilbert spaces ⋮ Weighted join operators on directed trees ⋮ The 3-isometric lifting theorem ⋮ Elementary operators which are \(m\)-isometries ⋮ Functional models up to similarity and \(a\)-contractions ⋮ Some results on higher order isometries and symmetries: products and sums with a nilpotent operator ⋮ Two-selfadjoint operators in Krein spaces ⋮ (A,m)-Symmetric commuting tuples of operators on a Hilbert space ⋮ Complex Jordan operations ⋮ On the Helton class of 𝑝-hyponormal operators

Cites Work

• Classification of certain pairs of operators (P,Q) satisfying \([P,Q=- iId\)]
• Riccati differential equations
• Subnormal operators
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• The factorization problem for nonnegative operator valued functions
• Jordan operators in infinite dimensions and Sturm Liouville conjugate point theory
• Infinite Dimensional Jordan Operators and Sturm-Liouville Conjugate Point Theory
• Complex geometry and operator theory
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