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PreprintCC BY-SA 4.0arXiv

A half-line of Schur idempotent norms

  • Rupert H. Levene
Open at sourcePDFDOICite

Abstract

Using a family of bipartite graphs constructed by hanging identical rooted trees at every vertex of a highly symmetric graph, we show that every sufficiently large real number is the norm of an idempotent Schur multiplier on the bounded operators on ℓ2. This answers a question previously raised by the author.

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Cite

BibTeXRIS
BibTeX
@misc{levene2026halfline,
  title = {{A half-line of Schur idempotent norms}},
  author = {Rupert H. Levene},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08419},
  eprint = {2611.08419},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08419},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - A half-line of Schur idempotent norms
AU  - Rupert H. Levene
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08419
UR  - https://arxiv.org/abs/2611.08419
AB  - Using a family of bipartite graphs constructed by hanging identical rooted trees at every vertex of a highly symmetric graph, we show that every sufficiently large real number is the norm of an idempotent Schur multiplier on the bounded operators on ℓ^2. This answers a question previously raised by the author.
ER  -