Operator theory on the pentablock

DOI10.1016/J.JMAA.2024.128589MaRDI QIDQ6607351

Abhay Jindal, Poornendu Kumar

Publication date: 18 September 2024

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

zbMATH Keywords

isometriesWold decompositionrational dilationpentablockBeurling-Lax-Halmos theorem

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) General theory of linear operators (47Axx) Controllability, observability, and system structure (93Bxx)

Cites Work

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• The Lempert theorem and the tetrablock
• Dilations of \(\varGamma\)-contractions by solving operator equations
• The complex geometry of a domain related to \(\mu\)-synthesis
• The group of automorphisms of the pentablock
• A note on tetrablock contractions
• A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
• Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren.
• Rational dilation problems associated with constrained algebras
• The complex structured singular value
• Invariant subspaces and Nevanlinna-Pick kernels
• A Schwarz lemma for the pentablock
• Distinguished varieties through the Berger-Coburn-Lebow theorem
• Geometric properties of the pentablock
• The Beurling-Lax-Halmos theorem for infinite multiplicity
• Rational dilation of tetrablock contractions revisited
• Geometric properties of domains related to \(\mu\)-synthesis
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• Distinguished varieties
• Functional models of \(\Gamma_n\)-contractions and characterization of \(\Gamma_n\)-isometries
• The failure of rational dilation on the tetrablock
• Unitary dilations for commuting contractions
• Subalgebras of C\(^*\)-algebras. II
• Harmonic analysis of operators on Hilbert space
• Rational penta-inner functions and the distinguished boundary of the pentablock
• Dilation theory and functional models for tetrablock contractions
• Operator Theory on Symmetrized Bidisc
• Dilations and constrained algebras
• The operator Fejer-Riesz theorem
• THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
• The tetrablock as a spectral set
• A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor
• The failure of rational dilation on a triply connected domain
• Classical function theory, operator dilation theory, and machine computation on multiply-connected domains
• Dilations, completely positive maps and geometry
• A dilation theoretic approach to approximation by inner functions
• A note on the dilation of a certain family of tetrablock contractions

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