Pith. sign in

REVIEW

Constructing non-AMNM weighted convolution algebras for every semilattice of infinite breadth

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2305.18272 v2 pith:5FKZYKXN submitted 2023-05-29 math.FA

Yemon Choi , Mahya Ghandehari , Hung Le Pham This is my paper · ORCID
classification math.FA
keywords algebrasamnmbreadthconvolutioninfinitepropertysemilatticeweighted
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The AMNM property for commutative Banach algebras is a form of Ulam stability for multiplicative linear functionals. We show that on any semilattice of infinite breadth, one may construct a weight for which the resulting weighted convolution algebra fails to have the AMNM property. Our work is the culmination of a trilogy started in [Semigroup Forum 102 (2021), no. 1, 86-103] and continued in [European J. Combin. 94 (2021), article 103311]. In particular, we obtain a refinement of the main result of the second paper, by establishing a dichotomy for union-closed set systems that has a Ramsey-theoretic flavour.

Discussion (0). Continue with ORCID to comment.

Pith tools