Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals
- Авторы: Eskandarian Z.1
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Учреждения:
- Kazan (Volga Region) Federal University
- Выпуск: Том 39, № 2 (2018)
- Страницы: 195-199
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201370
- DOI: https://doi.org/10.1134/S1995080218020105
- ID: 201370
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Аннотация
We consider linear normed spaces of measurable functions dominated by positive measurable function powered by real positive parameter. Also, we consider its dual and predual, and we propose a method for constructing a limit spaces of these functional spaces taken by power parameter. We prove that these limit spaces are (LF)-spaces and also prove that the limit spaces presume the relation of duality, i.e., the limit space of predual spaces is predual for the limit space of dominated functions, and the limit space of duals is dual for it. Also, the limit space of predual spaces is embedded into the limit space of dual spaces.
Об авторах
Zohreh Eskandarian
Kazan (Volga Region) Federal University
Автор, ответственный за переписку.
Email: zohreh.eskandarian@gmail.com
Россия, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008