English

On a result of D.W. Stroock

Probability 2013-08-01 v1

Abstract

We show how to modify an argument of D. W. Stroock to show that an additive map from one separable Banach space to another, that is "universally Gaussian measurable", must be continuous (hence linear).

Cite

@article{arxiv.1307.8412,
  title  = {On a result of D.W. Stroock},
  author = {P. J. Fitzsimmons},
  journal= {arXiv preprint arXiv:1307.8412},
  year   = {2013}
}
R2 v1 2026-06-22T01:01:41.301Z