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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
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Category: math
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MSC: 47A10
MSC: 47A60
idZBL: Zbl 0437.47003
idMR: MR565905
DOI: 10.21136/CMJ.1980.101652
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Date available: 2008-06-09T14:37:15Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101652
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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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