Skip to content
DraconiticResearch
Search Sources API
182,460 studies31 sourcesUpdated 31 min ago
PreprintarXiv licencearXiv

A short proof of the complete Crouzeix inequality in dimension three

Abstract

We give a short proof of the complete Crouzeix inequality with sharp constant $2$ for matrices of dimension at most three.

Related

  1. The Complete Crouzeix Conjecture in Dimension Three and the Clouâtre-Ostermann-Ransford conjecture
    Per Åhag, Rafał Czyż, Jani Virtanen
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. A proof of Alexander’s Conjecture on an Inequality of Cassels
    Myriam Ounaïes
    Complex Analysis and Operator TheoryPeer-reviewedLicence not statedFull textGeometry & topologyHAL
  3. Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one
    Lars Winther Christensen, Saeed Nasseh
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. A new proof of equality cases of the Brunn-Minkowski inequality on manifolds
    Osama Farooqui
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  5. A Proof of Liu's Conjecture on the Fundamental Triangle Inequality
    Tserendorj Batbold
    arXivPreprintCC BY 4.0Full textGeneral mathematicsarXiv
BibTeX
@misc{looi2026short,
  title = {{A short proof of the complete Crouzeix inequality in dimension three}},
  author = {Sam Looi},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01416},
  eprint = {2611.01416},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01416},
}
RIS
TY  - UNPB
TI  - A short proof of the complete Crouzeix inequality in dimension three
AU  - Sam Looi
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01416
UR  - https://arxiv.org/abs/2611.01416
AB  - We give a short proof of the complete Crouzeix inequality with sharp constant $2$ for matrices of dimension at most three.
ER  -