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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

	   We show that every Lorentz sequence space  			 		 $d(\textbf {w},p)$ 		admits a 1-complemented subspace  Y  distinct from  			 		 $\ell _p$ 		and containing no isomorph of  			 		 $d(\textbf {w},p)$ 		. In the general case, this is only the second nontrivial complemented subspace in  			 		 $d(\textbf {w},p)$ 		yet known. We also give an explicit representation of  Y  in the special case  			 		 $\textbf {w}=(n^{-\theta })_{n=1}^\infty $ 		( 			 		 $0&lt;\theta &lt;1$ 		) as the  			 		 $\ell _p$ 		-sum of finite-dimensional copies of  			 		 $d(\textbf {w},p)$ 		. As an application, we find a sixth distinct element in the lattice of closed ideals of  			 		 $\mathcal {L}(d(\textbf {w},p))$ 		, of which only five were previously known in the general case.

A new complemented subspace for the Lorentz sequence spaces, with an application to its lattice of closed ideals