Decomposing numerical ranges along with spectral sets

DOI10.1080/03081080902899085zbMath1172.47005arXiv0903.3323OpenAlexW2031656565MaRDI QIDQ5323193

Franciszek Hugon Szafraniec

Publication date: 23 July 2009

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3323

zbMATH Keywords

contractionnumerical rangesimilarityfunction algebraorthogonal decompositionF. and M. Riesz theoremGleason partelementary spectral measureK-spectral set\(\mathcal C_\rho \) operatorsset of antisymmetry

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Functional calculus for linear operators (47A60) Numerical range, numerical radius (47A12) Spectral sets of linear operators (47A25)

Cites Work

• A generalization of the Stone-Weierstrass theorem
• Numerical range and functional calculus in Hilbert space
• A skew normal dilation on the numerical range of an operator
• A lenticular version of a von Neumann inequality
• A functional calculus based on the numerical range: applications
• A geometric characterization of Gleason parts
• Representing measures for points in a uniform algebra
• The abstract F. and M. Riesz theorem

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