Contractions with countable spectra and unicity properties of closed countable sets of the circle
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Publication:1210528
DOI10.5802/aif.1329zbMath0766.47002OpenAlexW2318374952MaRDI QIDQ1210528
Publication date: 13 June 1993
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_1_251_0
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectral synthesis on groups, semigroups, etc. (43A45) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)
Related Items (10)
Invertible extensions and growth conditions ⋮ Local properties of powers of operators ⋮ Closed ideals of the algebra of absolutely convergent Taylor series ⋮ On contractions with spectrum contained in the Cantor set ⋮ Negative powers of Hilbert-space contractions ⋮ Tauberian type theorem for operators with interpolation spectrum for Hölder classes ⋮ On operators with spectrum in Cantor sets and spectral synthesis ⋮ Ergodicity and stability of orbits of unbounded semigroup representations ⋮ Sous-espaces biinvariants pour certains shifts pondérés. (Biinvariant subspaces for some weighted spaces) ⋮ On polynomially bounded operators acting on a Banach space
Cites Work
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- Theorems of Katznelson-Tzafriri type for contractions
- Operators which are annihilated by analytic functions and invariant subspaces
- On lattice isomorphisms with positive real spectrum and groups of positive operators
- Sur les algèbres de restrictions des séries de Taylor absolument convergentes à un fermé du cercle. (On the algebras of restrictions of Taylor series which absolutely convergent in a closed set of the circle.)
- Power-dominated elements in a Banach algebra
- Synthèse spectrale dans certaines algèbres de Beurling sur le cercle unité
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