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

We study non-linear traces of Choquet type and Sugeno type on the algebra ofcompact operators. They have certain partial additivities. We show that thesepartial additivities characterize non-linear traces of both Choquet type andSugeno type respectively. There exists a close relation between non-lineartraces of Choquet type and majorization theory. We study trace class operatorsfor non-linear traces of Choquet type. More generally we discuss Schatten-vonNeumann $p$-class operators for non-linear traces of Choquet type. We determinewhen they form Banach spaces. This is an attempt of non-commutative integrationtheory for non-linear traces of Choquet type on the algebra of compactoperators. We also consider the triangle inequality for non-linear traces ofSugeno type.

Non-linear traces on the algebra of compact operators and majorization