Title:
|
Spectral mapping theorem for the local spectrum (English) |
Author:
|
Vasilescu, Florian-Horia |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
30 |
Issue:
|
1 |
Year:
|
1980 |
Pages:
|
28-35 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
47A10 |
MSC:
|
47A60 |
idZBL:
|
Zbl 0437.47003 |
idMR:
|
MR565905 |
DOI:
|
10.21136/CMJ.1980.101652 |
. |
Date available:
|
2008-06-09T14:37:15Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101652 |
. |
Reference:
|
[1] G. R. Allan: A spectral theory for locally convex algebras.J. London Math. Soc., 15 (1965), 399-421. Zbl 0138.38202, MR 0176344 |
Reference:
|
[2] N. Bourbaki: Espaces vectoriels topologiques.Hermann, Paris, 1955. Zbl 0067.08302 |
Reference:
|
[3] I. Colojoară, С. Foiaş: Theory of generalized spectral operators.Gordon and Breach, New York, 1968. MR 0394282 |
Reference:
|
[4] N. Dunford, J. Schwartz: Linear operators, Part I.Interscience Publishers, New York, 1958. MR 0117523 |
Reference:
|
[5] F.-H. Vasilescu: Residually decomposable operators in Banach spaces.Tôhoku Math. J., 21 (1969), 509-522. Zbl 0193.10001, MR 0275208, 10.2748/tmj/1178242896 |
Reference:
|
[6] F.-H. Vasilescu: Residual properties for closed operators on Fréchet spaces.Illinois J. Math., 15 (1971), 377-386. Zbl 0213.14306, MR 0284842, 10.1215/ijm/1256052607 |
Reference:
|
[7] F.-H. Vasilescu: Analytic functions and some residual spectral properties.Rev. Roum. Math. Pures Appl., 15 (1970), 435 - 451. Zbl 0194.44101, MR 0262862 |
Reference:
|
[8] P. Vrbová: On local spectral properties of operators in Banach spaces.Czech. Math. J., 23 (1973), 483-492. MR 0322536 |
Reference:
|
[9] L. Waelbroeck: Le calcul symbolique dans les algèbres commutatives.J. Math. Pures Appl., 33 (1954), 147-186. Zbl 0056.33601, MR 0073953 |
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