Topological linear spaces of formal sums (in Russian) |
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| Author |
Vladimir State University, Russia
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| Abstract |
In addition to the Tychonoff topology on the direct product of discrete skew fields a variety of other
topologies which correspond to given filters on the support are defined and studied.
The main
result is a description of the continuous linear operators on the space of formal sums
(Theorem 9).
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| Keywords |
Tychonoff topology, discrete skew field, continuous linear operator
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| DOI |
doi:10.30970/ms.21.2.209-220
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Reference |
1. Бурбаки Н. Общая топология. Основные структуры. – Наука. М., 1968.
2. Бурбаки Н. Общая топология. Топологические группы, числа и связанные с ними группы и пространства. – Наука. М., 1969. 3. Дубровина Т.В., Дубровин Н.И. Фильтры на декартовом произведении двух множеств // Мат. Студії. – Т.21, № 2. – C.197–208. 4. Садовничий В.А. Теория операторов. – М., Высшая школа, 1999. |
| Pages |
209-220
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| Volume |
21
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| Issue |
2
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| Year |
2004
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |