A skew normal dilation on the numerical range of an operator

DOI10.1007/s00208-004-0585-3zbMath1085.47007OpenAlexW2154958372MaRDI QIDQ1772073

Sebastian Sandberg, Mihai Putinar

Publication date: 15 April 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-004-0585-3

zbMATH Keywords

numerical rangenormal dilationPoincaré-Neumann double layer potential

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Dilations, extensions, compressions of linear operators (47A20)

Related Items (8)

Resolvent characterisation of generators of cosine functions and \(C_0\)-groups ⋮ Decomposing numerical ranges along with spectral sets ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Positivity aspects of the Fantappiè transform ⋮ Dilation theory in finite dimensions and matrix convexity ⋮ Convex domains and K-spectral sets ⋮ Tests for complete \(K\)-spectral sets

Cites Work

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• Linear analysis of quadrature domains. II
• An inverse problem for the double layer potential
• Generalization of von Neumann's spectral sets and integral representation of operators
• Une majoration du type von Neumann pour les fractions rationnelles d'opérateurs sectoriels
• Some mapping theorems for the numerical range
• Neumann's Lemma
• Mapping Theorems for the Numerical Range

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