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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Localisation spectrale et sous-espaces hyperinvariants
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by A. Daoui and O. El-Fallah PDF
Proc. Amer. Math. Soc. 127 (1999), 2117-2122 Request permission

Abstract:

To get hyperinvariant subspaces, we establish a relation between the growth of the resolvent and the geometry of the spectrum. Our approach is based on a resolution of the generalized Dirichlet problem.
References
  • Aharon Atzmon, On the existence of hyperinvariant subspaces, J. Operator Theory 11 (1984), no. 1, 3–40. MR 739792
  • B. Beauzamy, Sous-espaces invariants de type fonctionnel dans les espaces de Banach, Séminaire d’Analyse Fonctionnelle (1978–1979), École Polytech., Palaiseau, 1979, pp. Exp. No. 27, 25 (French). MR 557379
  • Arne Beurling, Analytic continuation across a linear boundary, Acta Math. 128 (1972), no. 3-4, 153–182. MR 393559, DOI 10.1007/BF02392164
  • Ion Colojoară and Ciprian Foiaş, Theory of generalized spectral operators, Mathematics and its Applications, Vol. 9, Gordon and Breach Science Publishers, New York-London-Paris, 1968. MR 0394282
  • Nelson Dunford and Jacob T. Schwartz, Linear operators. Part III: Spectral operators, Pure and Applied Mathematics, Vol. VII, Interscience Publishers [John Wiley & Sons], New York-London-Sydney, 1971. With the assistance of William G. Bade and Robert G. Bartle. MR 0412888
  • Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. XXXI, American Mathematical Society, Providence, R.I., 1974. Third printing of the revised edition of 1957. MR 0423094
  • Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
  • K. Kellay: Version locale et existence de sous espaces invariants. Glasgow. Math. J. ( àparaitre)
  • Ju.I. Ljubic and V.I.Matsaev: On Operator with a separable spectrum. Amer.Math.Soc.Transl. 47(1965), 89-129.
  • Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77, Springer-Verlag, New York-Heidelberg, 1973. MR 0367682, DOI 10.1007/978-3-642-65574-6
  • Joseph G. Stampfli, A local spectral theory for operators. IV. Invariant subspaces, Indiana Univ. Math. J. 22 (1972/73), 159–167. MR 296734, DOI 10.1512/iumj.1972.22.22014
  • P. Hebroni, Sur les inverses des éléments dérivables dans un anneau abstrait, C. R. Acad. Sci. Paris 209 (1939), 285–287 (French). MR 14
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Additional Information
  • A. Daoui
  • Affiliation: Université Mohammed V, Faculté des Sciences, Departement de Mathématiques et Informatique, B.P.1014, Rabat, Morocco
  • Email: daoui@fsr.ac.ma
  • O. El-Fallah
  • Affiliation: Université Mohammed V, Faculté des Sciences, Departement de Mathématiques et Informatique, B.P.1014, Rabat, Morocco
  • MR Author ID: 338521
  • Email: elfallah@fsr.ac.ma
  • Received by editor(s): November 26, 1996
  • Received by editor(s) in revised form: October 17, 1997
  • Published electronically: March 3, 1999
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2117-2122
  • MSC (1991): Primary 47A10
  • DOI: https://doi.org/10.1090/S0002-9939-99-04725-5
  • MathSciNet review: 1485466