English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $K$ be a compact Hausdorff space with weight w$(K)$, $\tau$ an infinitecardinal with cofinality cf$(\tau)$ and $X$ a Banach space. In contrast with aclassical theorem of Cembranos and Freniche it is shown that if cf$(\tau)>$w$(K)$ then the space $C(K, X)$ contains a complemented copy of $c_{0}(\tau)$if and only if $X$ does.  This result is optimal for every infinite cardinal $\tau$, in the sense thatit can not be improved by replacing the inequality cf$(\tau)>$ w$(K)$ byanother weaker than it.

When does $C(K,X)$ contain a complemented copy of $c_0(\Gamma)$ iff $X$ does?