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/

Zendy Plus

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

Zendy Tools

Zendy Open

In this paper, we give a necessary and sufficient condition for which afinitely generated group has a property like Kazhdan's Property $(T)$restricted to one isometric representation on a strictly convex Banach spacewithout non-zero invariant vectors. Similarly, we give a necessary andsufficient condition for which a finitely generated group has a property likeProperty $(FH)$ restricted to the set of the affine isometric actions whoselinear part are one isometric representation on a strictly convex Banach spacewithout non-zero invariant vectors. If the Banach space is the $\ell^p$ space($1<p<\infty$) on a finitely generated group, these conditions are regarded asan estimation of the spectrum of the $p$-Laplace operator on the $\ell^p$ spaceand on the $p$-Dirichlet finite space respectively.

Property $(T_B)$ and Property $(F_B)$ restricted to a representation without non-zero invariant vectors