A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (4): 446-450.

A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX

步尚全

Department of applied mathematics, Tsinghua University, Beijing 100084, China

收稿日期:1992-07-03 出版日期:1994-12-25 发布日期:1994-12-25
基金资助:
Supported by the National Science Foundation of China.

A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX

Bu Shangquan

Department of applied mathematics, Tsinghua University, Beijing 100084, China

Received:1992-07-03 Online:1994-12-25 Published:1994-12-25
Supported by:
Supported by the National Science Foundation of China.

摘要/Abstract

摘要： In this paper, we show that J-convex and PSH-convex are different notions for closed bounded subsets in complex Banach space. Precisely, we show that a complex Banach space X is infinite dimensional if and only if there exists a closed bounded J-convex subset which is not PSH-convex.

步尚全. A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX[J]. 数学物理学报(英文版), 1994, 14(4): 446-450.

Bu Shangquan. A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX[J]. Acta mathematica scientia,Series B, 1994, 14(4): 446-450.

A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX

A J-CONVEX SUBSET WHICH IS NOT PSH-CONVEX

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