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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study tensor norms that destroy unconditionality in the following sense:for every Banach space $E$ with unconditional basis, the $n$-fold tensorproduct of $E$ (with the corresponding tensor norm) does not have unconditionalbasis. We establish an easy criterion to check weather a tensor norm destroysunconditionality or not. Using this test we get that all injective andprojective tensor norms different from $\varepsilon$ and $\pi$ destroyunconditionality, both in full and symmetric tensor products. We presentapplications to polynomial ideals: we show that many usual polynomial idealsnever enjoy the Gordon-Lewis property. We also consider the unconditionality ofthe monomial basic sequence. Analogous problems for multilinear and operatorideals are addressed.

Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators