English

A Kernel Approach to the Stinespring and Kraus Representations

Functional Analysis 2025-12-02 v1

Abstract

We give a self-contained derivation of the Stinespring and Kraus structure theorems for completely positive maps using only scalar positive-definite kernels.

Keywords

Cite

@article{arxiv.2512.00256,
  title  = {A Kernel Approach to the Stinespring and Kraus Representations},
  author = {James Tian},
  journal= {arXiv preprint arXiv:2512.00256},
  year   = {2025}
}
R2 v1 2026-07-01T08:00:25.990Z