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Title: Propriétés spectrales des restrictions d’opérateurs de la classe $A$ (French)
Title: Spectral properties of operator restrictions of the class $A$ (English)
Author: Benhida, Chafiq
Language: French
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 49
Issue: 1
Year: 1999
Pages: 13-20
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Category: math
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MSC: 47A11
MSC: 47A15
MSC: 47A45
MSC: 47L45
idZBL: Zbl 0954.47009
idMR: MR1676702
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Date available: 2009-09-24T10:19:17Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127462
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Reference: [1] H. Bercovici: Factorization theorems and the structure of operators on Hilbert space.Annals of Math. 128 (1988), 399–431. Zbl 0706.47010, MR 0960951, 10.2307/1971446
Reference: [2] H. Bercovici, C. Foias, C. Pearcy: Dual algebras with applications to invariant subspaces and dilation theory.CBMS Regional conference series in Math vol. 56, Amer. Math. Soc., Providence, R. I., 1985. MR 0787041
Reference: [3] S. Brown, B. Chevreau: Toute contraction à calcul fonctionnel isométrique est réflexive.C. R. Acad. Sci. Paris 307, Série I (1988), 185–188. MR 0955549
Reference: [4] B. Chevreau: Sur les contractions à calcul fonctionnel isométrique 2.Journal Operator Theory 20 (1988), 269–293. MR 1004124
Reference: [5] B. Chevreau, C. Pearcy: On the structure of contraction operators I.Journal Func. Anal. 76 (1988), 1–29. MR 0923042, 10.1016/0022-1236(88)90046-8
Reference: [6] B. Chevreau, G. Exner, C. Pearcy: On the structure of contraction operators III.Michigan. Math. Journal 36 (1989), 29–61. MR 0989936, 10.1307/mmj/1029003881
Reference: [7] B. Sz. Nagy, C. Foias: Harmonic Analysis of Operators on Hilbert Space.North Holland, Amsterdam, 1970. MR 0275190
Reference: [8] R. Olin, J. Thomson: Algebras of subnormal operators.Journal Func. Anal. 37 (1980), 271–301. MR 0581424, 10.1016/0022-1236(80)90045-2
Reference: [9] M. Ouannasser: Une remarque sur la classe $Ā_{1 \aleph _0}$.Math. Balkanica (N. S) 4 (1990), 203–205. MR 1088007
Reference: [10] M. Ouannasser: Sur les contractions de la classe $Ā_n$.Journal Operator Theory 28 (1992), 105–120. MR 1259919
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