Subtle hyperplanes

Konstantin Valer evich Storozhuk

doi:10.33048/semi.2018.15.128

Subtle hyperplanes

Переведенное название: Тонкие гиперплоскости

Konstantin Valer evich Storozhuk

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

We show that the countably-dimensional vector space C₀₀ of all sequences with finite support contains a convex cone K that does not include straight lines and is closed Archiemedean but not closed in the Mackey topology τ corresponding to the duality 〈C₀₀|F〉, where F is a hyperplane in the algebraic dual space C₀₀ ^#.

Переведенное название	Тонкие гиперплоскости
Язык оригинала	английский
Страницы (с-по)	1553-1555
Число страниц	3
Журнал	Siberian Electronic Mathematical Reports
Том	15
DOI	https://doi.org/10.33048/semi.2018.15.128
Состояние	Опубликовано - 1 янв 2018

Ключевые слова

Cone
Duality of topology vector spaces

Доступ к документу

10.33048/semi.2018.15.128

Link to publication in Scopus

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Цитировать

Storozhuk, K. V. E. (2018). Subtle hyperplanes. Siberian Electronic Mathematical Reports, 15, 1553-1555. https://doi.org/10.33048/semi.2018.15.128

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