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Title: A characterization for the spectral capacity of a finite system of operators (English)
Author: Frunză, Ştefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 27
Issue: 3
Year: 1977
Pages: 356-362
Summary lang: Russian
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Category: math
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MSC: 47A10
MSC: 47A60
idZBL: Zbl 0389.47017
idMR: MR0440386
DOI: 10.21136/CMJ.1977.101473
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Date available: 2008-06-09T14:23:55Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101473
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Reference: [1] E. J. Albrecht: Funktionalkalküle in mehreren Veränderlichen.Dissertation zur Erlangung des Doktorgrades, Johannes Gutenberg-Universität zu Mainz, 1972.
Reference: [2] E. J. Albrecht: An example of a non-regular generalized scalar operator.Rev. Roum. Math. Pures et Appl. 18 (1973), 983-985. Zbl 0265.47012, MR 0324471
Reference: [3] C. Apostol: Spectral decompositions and functional calculus.Rev. Roum. Math. Pures et Appl. 13 (1968), 1483-1530. Zbl 0176.43701, MR 0250092
Reference: [4] E. Bishop: A duality theorem for an arbitrary operator.Рас. J. Math. 9 (1959), 379-397. Zbl 0086.31702, MR 0117562
Reference: [5] I. Colojoară, C. Foiaş: Theory of generalized spectral operators.Gordon and Breach New York 1968. MR 0394282
Reference: [6] С. Foiaş: Spectral capacities and decomposable operators.Rev. Roum. Math. Pures et Appl. 13 (1968), 1539-1545. MR 0250093
Reference: [7] С. Foiaş: On the maximal spectral spaces of a decomposable operator.Rev. Roum. Math. Pures et Appl. 16 (1970), 1599-1606. MR 0278095
Reference: [8] Şt. Frunză: Une caractérisation des espaces maximaux spectraux des opérateurs $u$-scalaires.Rev. Roum. Math. Pures et Appl. 16 (1970), 1607-1609. MR 0278094
Reference: [9] Şt. Frunză: The Taylor spectrum and spectral decompositions.to appear in J. Functional Anal. MR 0394259
Reference: [10] J. L. Taylor: A joint spectrum for several commuting operators.J. Functional Anal. 6 (1970), 172-191. Zbl 0233.47024, MR 0268706, 10.1016/0022-1236(70)90055-8
Reference: [11] J. L. Taylor: The analytic functional calculus for several commuting operators.Acta Math. 125 (1970), 1-38. Zbl 0233.47025, MR 0271741, 10.1007/BF02392329
Reference: [12] F. H. Vasilescu: An application of Taylor's functional calculus.Rev. Roum. Math. Pures et Appl. 19 (1974), 1165-1167. Zbl 0292.47027, MR 0358409
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