The symmetrization map and \(\Gamma\)-contractions

DOI10.1007/s13348-022-00379-0arXiv2110.03009OpenAlexW3203715107MaRDI QIDQ6141126

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Publication date: 22 January 2024

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03009

zbMATH Keywords

spectral setsymmetrization map\( \Gamma \)-contraction

Mathematics Subject Classification ID

Algebraic geometry (14-XX)

Cites Work

• Unnamed Item
• Dilations of \(\varGamma\)-contractions by solving operator equations
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• A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
• Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension
• The hyperbolic geometry of the symmetrized bidisc
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• Spectral sets and distinguished varieties in the symmetrized bidisc
• From Stinespring dilation to Sz.-Nagy dilation on the symmetrized bidisc and operator models
• Admissible fundamental operators
• A geometric characterization of the symmetrized bidisc
• Harmonic analysis of operators on Hilbert space
• Spectral Nevanlinna-Pick and Caratheodory-Fejer problems for $n\geq3$
• Operator Theory on Symmetrized Bidisc
• Operators having the symmetrized bidisc as a spectral set
• Interpolating sequences and the Toeplitz--Corona theorem on the symmetrized bidisk
• A functional model for pure $\Gamma$-contractions

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