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 work it is proved that the Moore-Penrose inverse of the product of$n$-doubly commuting regular $C^*$-algebra elements obeys the so-called reverseorder law. Conversely, conditions regarding the reverse order law of theMoore-Penrose inverse are given in order to characterize when $n$-regularelements doubly commute. Furthermore, applications of the main results of thisarticle to normal $C^*$-algebra elements, to Hilbert space operators and toCalkin algebras will be considered.

Moore-Penrose inverse and doubly commuting elements in $C^*$-algebras