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

In this paper, we obtain a new type of inequalities for frames, which areparametrized by a parameter \lambda\in R . By suitable choices of {\lambda},one obtains the previous results as special cases. Our new proof also makes theunderlying mathematical structure that gives rise to these inequalities moretransparent than previous approaches: Our proof shows that the main point isthe splitting S = S1 + S2 of the positive denite frame operator S into the twopositive semidenite operators S1 and S2 .

Splitting of operator for frame inequalities in Hilbert spaces