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ArticleOriginal scientific text

Title

Representing and absolutely representing systems

Authors 1, 2

Affiliations

  1. Departament of Mathematics, Kharkov State University, 310000 Kharkov, Ukraine
  2. Department of Mathematics, Rostov State University, 344711 Rostov-Na-Donu, Russia

Abstract

We introduce various classes of representing systems in linear topological spaces and investigate their connections in spaces with different topological properties. Let us cite a typical result of the paper. If H is a weakly separated sequentially separable linear topological space then there is a representing system in H which is not absolutely representing.

Bibliography

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  4. Yu. F. Korobeĭnik, Representing systems, Uspekhi Mat. Nauk 36 (1) (1981), 73-126; English transl.: Russian Math. Surveys 36 (1) (1981), 75-137.
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Studia Mathematica
1992/102/3
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Pages:
217-223
Main language of publication
English
Received
1991-03-28
Accepted
1991-10-18
Published
1992
Exact and natural sciences