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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.
Received: 23.11.2009
Citation:
Yu. F. Korobeinik, “On Free Representing Systems”, Mat. Zametki, 91:2 (2012), 214–224; Math. Notes, 91:2 (2012), 198–206
Linking options:
https://www.mathnet.ru/eng/mzm8573https://doi.org/10.4213/mzm8573 https://www.mathnet.ru/eng/mzm/v91/i2/p214
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Abstract page: | 493 | Full-text PDF : | 181 | References: | 90 | First page: | 26 |
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