| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8899431 | Journal of Mathematical Analysis and Applications | 2018 | 9 Pages |
Abstract
Dugundji spaces were introduced by PeÅczyÅski as compact Hausdorff spaces X such that every embedding of X into a Tychonoff cube [0,1]A admits a linear extension operator u:C(X)âC([0,1]A) such that âuâ=1 and u(1X)=1[0,1]A, where 1X is the constant function on X taking value 1. In this paper we show that a compact space X is Dugundji provided that there exists a linear extension operator u:C(X)âC([0,1]A) satisfying one of the following conditions:
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dmitri Shakhmatov, Vesko Valov, Takamitsu Yamauchi,