Spectral synthesis in some topological vector spaces of functions
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S. S. Platonov
Translated by: A. Plotkin - St. Petersburg Math. J. 22 (2011), 813-833
- DOI: https://doi.org/10.1090/S1061-0022-2011-01170-7
- Published electronically: June 28, 2011
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Abstract:
For the topological vector function spaces of exponential growth, the spectral synthesis property is proved and the spectra of invariant subspaces are described fully.References
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Bibliographic Information
- S. S. Platonov
- Affiliation: Petrozavodsk State University, Lenin Ave. 33, Petrozavodsk 185910, Russia
- Email: platonov@su.karelia.ru
- Received by editor(s): June 14, 2009
- Published electronically: June 28, 2011
- © Copyright 2011 American Mathematical Society
- Journal: St. Petersburg Math. J. 22 (2011), 813-833
- MSC (2010): Primary 46E10, 46F05
- DOI: https://doi.org/10.1090/S1061-0022-2011-01170-7
- MathSciNet review: 2828831