Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
217-223
Opis fizyczny
Daty
wydano
1992
otrzymano
1991-03-28
poprawiono
1991-10-18
Twórcy
autor
- Departament of Mathematics, Kharkov State University, 310000 Kharkov, Ukraine
autor
- Department of Mathematics, Rostov State University, 344711 Rostov-Na-Donu, Russia
Bibliografia
- [1] E. Dubinsky, The Structure of Nuclear Fréchet Spaces, Lecture Notes in Math. 720, Springer, 1979.
- [2] V. M. Kadets and Yu. F. Korobeĭnik, Representing systems in linear topological spaces, Izv. Severo-Kavkaz. Nauchn. Tsentra Vyssh. Shkoly Estestv. Nauk 1985 (2), 16-18 (in Russian).
- [3] Yu. F. Korobeĭnik, On a dual problem. I. General results. Applications to Fréchet spaces, Mat. Sb. 97 (2) (1975), 193-229; English transl.: Math. USSR-Sb. 26 (2) (1975), 181-212.
- [4] Yu. F. Korobeĭnik, Representing systems, Uspekhi Mat. Nauk 36 (1) (1981), 73-126; English transl.: Russian Math. Surveys 36 (1) (1981), 75-137.
- [5] Yu. F. Korobeĭnik, On some problems of the theory of representing systems, in: Theory of Functions and of Approximations, Izdat. Saratov. Univ., 1986, 25-31 (in Russian).
- [6] A. Pietsch, Nukleare lokalkonvexe Räume, Akademie-Verlag, Berlin 1965.
- [7] A. A. Talalyan, On the existence of null series with respect to some systems of functions, Mat. Zametki 5 (1) (1969), 3-12 (in Russian).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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