arXiv (All)
open access
The norm reveals projections in the positive unit sphere of an arbitrary C*-algebra
We show how a simple metric condition in terms of the C$^*$-norm of an arbitrary C$^*$-algebra $A$ can be employed to determine those norm-one positive elements which are projections. Concretely, if we write $S_{A^+}$ for the intersection of the positive cone and the unit sphere of $A$, we establish
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- On the Orlicz function estimations of the $a$-Davis--Wielandt radius in $C^*$-algebra#1122666
- Finite-dimensional approximations for C*-algebras of product systems#1217928
- Vector valued continuous function spaces as $C^\ast$-algebras#924822
- Vector valued continuous function spaces as $C^\ast$-algebras#920588
- Property (SP) and Inclusions of C*-algebras#799296
Record · ID 1458760
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive