2024-03-28T20:54:26Z
https://teapot.lib.ocha.ac.jp/oai
oai:teapot.lib.ocha.ac.jp:00034914
2022-12-12T05:39:32Z
347:359:617
On a Generalization of the Spaces Introduced by M. De Wilde and Closed Graph Theorem
Nakamura, Michiko
69892
400
application/pdf
紀要論文
M. De Wilde defined in [1] certain types of linear topological spaces (in the sequel we suppose every linear topological space is Hausdorff) for which the closed graph theorem concerning linear mappings from Banach spaces is valid, i.e. the spaces with the reseau of type (P), (K), and (ε). In this paper we prove that all the types (P), (K), and (ε) coincide, consider a generalization of the spaces defined by M. De Wilde, and prove another type of closed graph theorem generalizing and simplifying the result obtained in [1], succeeding the investigation in the papers [2], [3], and [4].
departmental bulletin paper
お茶の水女子大学
1971-12
application/pdf
お茶の水女子大學自然科學報告
2
22
137
142
AN00033958
00298190
https://teapot.lib.ocha.ac.jp/record/34914/files/KJ00004829739.pdf
eng