English

Wandering Montel Theorems for Hilbert Space Valued Holomorphic Functions

Functional Analysis 2017-06-20 v1 Complex Variables

Abstract

We prove a Montel theorem for Hilbert space valued functions, and a non-commutative version of this theorem, by composing with unitaries to achieve convergence.

Keywords

Cite

@article{arxiv.1706.05376,
  title  = {Wandering Montel Theorems for Hilbert Space Valued Holomorphic Functions},
  author = {Jim Agler and John E. McCarthy},
  journal= {arXiv preprint arXiv:1706.05376},
  year   = {2017}
}
R2 v1 2026-06-22T20:21:13.463Z