Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616311 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
We study pairs of Banach spaces (X,Y), with YâX, for which the thesis of Sobczyk's theorem holds, namely, such that every bounded c0-valued operator defined in Y extends to X. We are mainly concerned with the case when X is a C(K) space and Yâ¡C(L) is a Banach subalgebra of C(K). The main result of the article states that, if K is a compact line and L is countable, then every bounded c0-valued operator defined in C(L) extends to C(K).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Claudia Correa, Daniel V. Tausk,