A Kernel Approach to the Stinespring and Kraus Representations

Fuente: arXiv
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Main Author: Tian, James
Format: Preprint
Published: 2025
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author Tian, James
author_facet Tian, James
contents We give a self-contained derivation of the Stinespring and Kraus structure theorems for completely positive maps using only scalar positive-definite kernels.
format Preprint
id arxiv_https___arxiv_org_abs_2512_00256
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Kernel Approach to the Stinespring and Kraus Representations
Tian, James
Functional Analysis
Primary: 46E22, Secondary: 47A20, 47L25
We give a self-contained derivation of the Stinespring and Kraus structure theorems for completely positive maps using only scalar positive-definite kernels.
title A Kernel Approach to the Stinespring and Kraus Representations
topic Functional Analysis
Primary: 46E22, Secondary: 47A20, 47L25
url https://arxiv.org/abs/2512.00256