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 |
. |
Category:
|
math |
. |
MSC:
|
47A10 |
MSC:
|
47A60 |
idZBL:
|
Zbl 0389.47017 |
idMR:
|
MR0440386 |
DOI:
|
10.21136/CMJ.1977.101473 |
. |
Date available:
|
2008-06-09T14:23:55Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101473 |
. |
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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