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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2012 Volume 91, Issue 2, Pages 214–224 (Mi mzm8573)
On Free Representing Systems

Yu. F. Korobeinikab

a Southern Federal University, Rostov-on-Don
b South Mathematical Institute of VSC RAS

Abstract: Conditions are found under which a representing or an absolutely representing system of elements in a complete Hausdorff locally convex space remains representing or absolutely representing after the removal of a finite or infinite but sufficiently “meager” subset of its elements.

Keywords: representing system, absolutely representing system, free representing system, boundedly free representing system, exponential system, Hausdorff locally convex space, seminorm, convolution-type operator, Fréchet space.

UDC: 517.9

Received: 23.11.2009

DOI: 10.4213/mzm8573


 English version: Mathematical Notes, 2012, 91:2, 198–206

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© Steklov Math. Inst. of RAS, 2025