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

We introduce a new class which generalizes the class of B-Weyl operators. Wesay that $T\in L(X)$ is pseudo B-Weyl if $T=T_1\oplus T_2$ where $T_1$ is aWeyl operator and $T_2$ is a quasi-nilpotent operator. We show that thecorresponding pseudo B-Weyl spectrum $\sigma_{pBW}(T)$ satisfies the equality$\sigma_{pBW}(T)\cup[{\mathcal S}(T)\cap{\mathcal S}(T^*)]=\sigma_{gD}(T);$where $\sigma_{gD}(T)$ is the generalized Drazin spectrum of $T\in L(X)$ and${\mathcal S}(T)$ (resp., ${\mathcal S} (T^*)$) is the set where $T$ (resp.,$T^*$) fails to have SVEP. We also investigate the generalized Drazininvertibility of upper triangular operator matrices by giving sufficientconditions which assure that the generalized Drazin spectrum or the pseudoB-Weyl spectrum of an upper triangular operator matrices is the union of itsdiagonal entries spectra.

On pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices