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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)



Spectral synthesis in some topological vector spaces of functions

Author: S. S. Platonov
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 22 (2010), nomer 5.
Journal: St. Petersburg Math. J. 22 (2011), 813-833
MSC (2010): Primary 46E10, 46F05
Published electronically: June 28, 2011
MathSciNet review: 2828831
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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.

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Additional Information

S. S. Platonov
Affiliation: Petrozavodsk State University, Lenin Ave. 33, Petrozavodsk 185910, Russia

Keywords: Spectral synthesis, invariant subspaces, function spaces, algebras of functions, closed ideals
Received by editor(s): June 14, 2009
Published electronically: June 28, 2011
Article copyright: © Copyright 2011 American Mathematical Society