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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We obtain limit theorems for \(\Phi (A^p)^{1/p}\) and \((A^p\sigma B)^{1/p}\) as \(p\rightarrow \infty \) for positive matrices A, B, where \(\Phi \) is a positive linear map between matrix algebras (in particular, \(\Phi (A)=KAK^*\)) and \(\sigma \) is an operator mean (in particular, the weighted geometric mean), which are considered as certain reciprocal Lie–Trotter formulas and also a generalization of Kato’s limit to the supremum \(A\vee B\) with respect to the spectral order.

Matrix Limit Theorems of Kato Type Related to Positive Linear Maps and Operator Means