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Matematicheskie Zametki, 2012, Volume 91, Issue 2, Pages 214–224
DOI: https://doi.org/10.4213/mzm8573
(Mi mzm8573)
 

On Free Representing Systems

Yu. F. Korobeinikab

a Southern Federal University, Rostov-on-Don
b South Mathematical Institute of VSC RAS
References:
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.
Received: 23.11.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 2, Pages 198–206
DOI: https://doi.org/10.1134/S000143461201021X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. F. Korobeinik, “On Free Representing Systems”, Mat. Zametki, 91:2 (2012), 214–224; Math. Notes, 91:2 (2012), 198–206
Citation in format AMSBIB
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  • Citing articles in Google Scholar: Russian citations, English citations
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    Математические заметки Mathematical Notes
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    Full-text PDF :181
    References:90
    First page:26
     
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