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 show that for a bounded linear operator $T$, thecorresponding generalized Kato decomposition spectrum $\sigma_{gK}(T)$satisfies the equality $\sigma_{gD}(T)=\sigma_{gK}(T)\cup (S(T)\cup S(T^*))$where $\sigma_{gD} (T ) $ is the generalized Drazin spectrum of $T$ and $S(T )$(resp., $S(T^*)$ is the set where T (resp., $T^*$) fails to have SVEP. Asapplication, we give sufficient conditions which assure that the generalizedKato decomposition spectrum of an upper triangular operator matrices is theunion of its diagonal entries spectra. Moreover, some applications are given.

Generalized Kato Decomposition For Operator Matrices and SVEP