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Sequential retractivities and regularity on inductive limits

Qiu Jing-Hui — 2000

Czechoslovak Mathematical Journal

In this paper we prove the following result: an inductive limit $(E, t) = ind (E_{n}, t_{n})$ is regular if and only if for each Mackey null sequence $(x_{k})$ in $(E, t)$ there exists $n = n (x_{k}) \in ℕ$ such that $(x_{k})$ is contained and bounded in $(E_{n}, t_{n})$ . From this we obtain a number of equivalent descriptions of regularity.

Banach-Mackey spaces.

Qiu, Jing Hui; McKennon, Kelly — 1991

International Journal of Mathematics and Mathematical Sciences

Strictly extreme and strictly exposed points.

Qiu, Jing Hui; McKennon, Kelly — 1994

International Journal of Mathematics and Mathematical Sciences

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