This article is cited in 11 papers

Research Papers

Spectral synthesis in some topological vector spaces of functions

С. С. Platonov

Petrozavodsk State University, Petrozavodsk, Russia

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.

Keywords: spectral synthesis, invariant subspaces, function spaces, algebras of functions, closed ideals.

Received: 14.06.2009

 English version: St. Petersburg Mathematical Journal, 2011, 22:5, 813–833

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