On contractions with spectrum contained in the Cantor set

DOI10.1017/S0305004100073163zbMath0830.47001OpenAlexW2171718453MaRDI QIDQ4839912

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Publication date: 18 July 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100073163

zbMATH Keywords

contractionspectrum contained in the Cantor set

Mathematics Subject Classification ID

Spectrum, resolvent (47A10)

Related Items (4)

Tauberian type theorem for operators with interpolation spectrum for Hölder classes ⋮ On operators with spectrum in Cantor sets and spectral synthesis ⋮ Sous-espaces biinvariants pour certains shifts pondérés. (Biinvariant subspaces for some weighted spaces) ⋮ Analytic continuation and stability of operator semigroups

Cites Work

• Unnamed Item
• Theorems of Katznelson-Tzafriri type for contractions
• Operators which are annihilated by analytic functions and invariant subspaces
• Contractions with countable spectra and unicity properties of closed countable sets of the circle
• Weakly invertible elements in certain function spaces, and generators in \(l_ 1\)
• Closed ideals of the algebra of absolutely convergent Taylor series

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