On operators with spectrum in Cantor sets and spectral synthesis

DOI10.1016/J.JMAA.2018.01.079OpenAlexW2790841276MaRDI QIDQ1754619

Mohamed Zarrabi

Publication date: 31 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.079

zbMATH Keywords

operatorsCantor setsspectral synthesisgrowth of powers of operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10)

Related Items (1)

Interpolation with functions in the analytic Wiener algebra

Cites Work

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• SPECTRAL SYNTHESIS FOR THE CANTOR SET
• Tauberian type theorem for operators with interpolation spectrum for Hölder classes
• Distributions on Kronecker sets, strong forms of uniqueness, and closed ideals of A+.
• Interpolating sets for spaces of functions with derivatives in the Wiener algebra
• Idéaux fermés de certaines algèbres de Beurling et application aux opérateurs à spectre dénombrable
• On contractions with spectrum contained in the Cantor set
• On the growth of powers of operators with spectrum contained in Cantor sets

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