Dugundji s extension theorem in TVS-cone metric spaces

• 발행기관: 호서대학교 기초과학연구소
• 저자명: 이경복 김귀석
• 간행물 정보: 『기초과학연구 논문집』제26권 제1호, 63~68쪽, 전체 6쪽
• 주제분류: 공학 > 공학일반
• 파일형태: PDF
• 발행일자: 2018.12.30

영문 초록

The Dugundji extension theorem plays an important role in the topological theory. It states that every continuous map from a closed subset A of the metric space X into a locally convex space Y can be continuously extended to X. Note that the well-known Tietze extension theorem is a consequence of the Dugundji extension theorem. Recently, Kieu Phuong Chi and Tran Van An [Kieu Phuong Chi and Tran Van An [K.P. Chi, T. Van An, Dugundji s theorem for cone metric spaces, Appl. Math. Lett. (2010) doi:10.1016/j.aml.2010.10.034] proved Dugundji s extension theorem for the normal cone metric space. The aim of this paper is to prove this in the frame of the TVS - cone spaces in which the cone does not need to be normal.

목차

Abstract

Ⅰ. Introduction and preliminaries

Ⅱ. Main results

Ⅲ. References

키워드

Dugundji s extension theorem cone metric space TVS-cone spaces