English

Calcular Algebras

Functional Analysis 2019-07-01 v1 Operator Algebras

Abstract

A calcular algebra is a subalgebra of H(Ω)H^\infty(\Omega) with norm given by ϕ=supϕ(T)\| \phi \| = \sup \| \phi(T) \| as TT ranges over a given class of commutative dd-tuples of operators with Taylor spectrum in \O\O. We discuss what algebras arise this way, and how they can be represented.

Keywords

Cite

@article{arxiv.1906.11959,
  title  = {Calcular Algebras},
  author = {Jim Agler and John E. McCarthy and Nicholas J. Young},
  journal= {arXiv preprint arXiv:1906.11959},
  year   = {2019}
}
R2 v1 2026-06-23T10:06:07.615Z