A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (2): 161-170.

A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM

丘京辉

Department of Mathematics, Suzhou University, Suzhou 215006, China

收稿日期:1992-12-28 修回日期:1993-10-05 出版日期:1995-06-25 发布日期:1995-06-25
基金资助:
Supported by Jiangsu Provincial Natural Science Foundation.

A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM

Qiu Jinghui

Department of Mathematics, Suzhou University, Suzhou 215006, China

Received:1992-12-28 Revised:1993-10-05 Online:1995-06-25 Published:1995-06-25
Supported by:
Supported by Jiangsu Provincial Natural Science Foundation.

摘要/Abstract

摘要： By investigating the properties of Hellinger-Toeplitz topologies, we establish a general version of Kalton's closed graph theorem. From this general version, we deduce a number of new closed graph theorems, which are convenient for application. Particularly we improve some results of Kalton.

关键词: Locally convex spaces, Mackey spaces, Closed graph theorems

Abstract: By investigating the properties of Hellinger-Toeplitz topologies, we establish a general version of Kalton's closed graph theorem. From this general version, we deduce a number of new closed graph theorems, which are convenient for application. Particularly we improve some results of Kalton.

Key words: Locally convex spaces, Mackey spaces, Closed graph theorems

丘京辉. A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM[J]. 数学物理学报(英文版), 1995, 15(2): 161-170.

Qiu Jinghui. A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM[J]. Acta mathematica scientia,Series B, 1995, 15(2): 161-170.

[1]	丘京辉. CHARACTERIZATION OF SOLID CONES[J]. 数学物理学报(英文版), 2008, 28(2): 408-416.
[2]	丘京辉. GENERAL OPEN MAPPING THEOREMS FOR LINEAR TOPOLOGICAL SPACES[J]. 数学物理学报(英文版), 1998, 18(3): 241-248.

A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM

A GENERAL VERSION OF KALTON'S CLOSED GRAPH THEOREM

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