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References
A. Atzmon, Operators which are annihilated by analytic functions and invariant subspaces. Acta. Math.144, 27–63 (1980).
A. Atzmon, On the existence of hyperinvariant subspaces. J. Operator Theory11, 3–40 (1984).
W. G. Bade andH. G. Dales, Norms and ideals in radical convolution algebras. J. Funct. Anal.41, 77–109 (1981).
B. Beauzamy, Sous espaces invariants de type fonctionnel. Acta Math.144, 65–82 (1980).
R. P.Boas, Entire functions. New York 1954.
S. Brown, B. Chevreau andC. Pearcy, On the structure of contraction operators II. J. Funct. Anal.76, 30–55 (1988).
P. Enflo, On the invariant subspace problem for Banach spaces. Acta. Math.158, 213–313 (1987).
J. Esterle, Quasimultipliers, representations ofH ∞, and the closed ideal problem. LNM975, 66–162, Berlin-Heidelberg-New York 1983.
J. Esterle etF. Zouakia, Rythme de décroissance des itérés de certains opérateurs de l'espace de Hilbert. J. Operator Theory21, 387–396 (1989).
T. V.Pedersen, Norms of powers in Banach algebras. J. London Math. Soc., to appear.
T. V.Pedersen, Some results about Beurling algebras with applications to operator theory. Preprint.
H.Radjavi and P.Rosenthal, Invariant subspaces. Berlin-Heidelberg-New York 1973.
C. Read, A solution to the invariant subspace problem. Bull. London Math. Soc.16, 337–401 (1984).
W.Rudin, Real and complex analysis. New York 1966.
B. M. Solomyak, Calculuses, annihilators and hyperinvariant subspaces. J. Operator Theory9, 341–370 (1983).
J. Wermer, The existence of invariant subspaces. Duke. Math. J.19, 615–622 (1952).
M. Zarrabi, Contractions à spectre dénombrable et propriétés d'unicité des fermés dénombrables du cercle. Ann. Inst. Fourier (Grenoble)43, 251–263 (1993).
J. Zemanek, On the Gelfand-Hille theorems. Banach Center Publ.30, 369–385 (1994).
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Esterle, J., Zarrabi, M. Local properties of powers of operators. Arch. Math 65, 53–60 (1995). https://doi.org/10.1007/BF01196580
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DOI: https://doi.org/10.1007/BF01196580