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 notion of a noncommutative function defined on a domain of$d$-tuples of bounded operators on an infinite dimensional Hilbert space.Inverse and implicit function theorems in this setting are established. Whenthese operatorial noncommutative functions are suitably continuous in thestrong operator topology, a noncommutative dilation-theoretic construction isused to show that the assumptions on their derivatives may be relaxed fromboundedness below to merely injectivity.

Inverse and Implicit Function Theorems for Noncommutative Functions on Operator Domains