A short proof of the existence of the injective envelope of an operator space

We use Ellis’ lemma to give a simple proof of the existence of the injective envelope of an operator space first shown by work of Hamana and Ruan.

Authors

Thomas Sinclair (ORCID: https://orcid.org/0000-0003-0401-7232)

Institutions

Purdue University West Lafayette (US)

Publication Details

Journal: Proceedings of the American Mathematical Society
Published: 2025-10-17
DOI: https://doi.org/10.1090/proc/17412
Primary Topic: Advanced Operator Algebra Research
Type: article
Field-Weighted Citation Impact: 0.00

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article

A short proof of the existence of the injective envelope of an operator space

Thomas Sinclair

Oct 17, 2025

Proceedings of the American Mathematical Society

Advanced Operator Algebra Research

article

A short proof of the existence of the injective envelope of an operator space

Thomas Sinclair

October 17, 2025article en

Abstract

We use Ellis’ lemma to give a simple proof of the existence of the injective envelope of an operator space first shown by work of Hamana and Ruan.

Proceedings of the American Mathematical Society

Purdue University West Lafayette (US)

Openalex Percentile: Top 64%

Advanced Operator Algebra Research

DOI Source OpenAlex

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A short proof of the existence of the injective envelope of an operator space — Thomas Sinclair · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS