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

If $\mu_1,\mu_2,\dots$ are positive measures on a measurable space$(X,\Sigma)$ and $v_1,v_2, \dots$ are elements of a Banach space ${\mathbb E}$such that $\sum_{n=1}^\infty \|v_n\| \mu_n(X) < \infty$, then $\omega (S)=\sum_{n=1}^\infty v_n \mu_n(S)$ defines a vector measure of bounded variationon $(X,\Sigma)$. We show ${\mathbb E}$ has the Radon-Nikodym property if andonly if every ${\mathbb E}$-valued measure of bounded variation on $(X,\Sigma)$is of this form.  As an application of this result we show that under natural conditions anoperator defined on positive measures, has a unique extension to an operatordefined on ${\mathbb E}$-valued measures for any Banach space ${\mathbb E}$that has the Radon-Nikodym property.

A characterization of the Radon-Nikodym property for vector valued measures