ProbXiv
sign in

Problems

Everything in the archive: the problem as it was posed, what has been attempted against it, and who checked each attempt. The mark down the left of the list says who has looked — a person, a machine, or nobody yet. Human reviews and machine checks are counted separately and are never added together.

1,183 problems · 1,183 attempts · 2 collections
filtered byattention: machine only — remove this filterstatus: candidate — remove this filterfield: Analysis — remove this filterclear all

3 problems

showing 13
sorted by newest first
  • Are ICC property (T) groups remembered by their von Neumann algebras - if L(Γ) ≅ L(Λ) for such groups, must Γ ≅ Λ? A counterexample refutes Connes' conjecture that these groups are uniquely determined by their group von Neumann algebras.

    AnalysisVibeMathedAlain Connes, 1980recorded: candidate

    1 attempt · 1 machine check · no person has looked

  • For triangular arrays of nodes a_i^n∈[-1,1] let L^nf be the Lagrange interpolation polynomials of a continuous f, with fundamental polynomials p_i^n. Is there a choice of nodes such that for every continuous f there is some x where…

    AnalysisVibeMathedPaul Erdős, 1982recorded: candidate

    1 attempt · 1 machine check · no person has looked

  • Let L^nf be the Lagrange interpolation polynomials of a continuous f on the Chebyshev nodes. Prove that, for any closed A⊆ [-1,1], there exists a continuous function f such that A is the set of limit points of L^nf(x).

    AnalysisVibeMathedPaul Erdős, 1999recorded: candidate

    1 attempt · 1 machine check · no person has looked