arXiv (All)
open access
Locally unital $C^*$-algebras do not admit frames
We study nonunital $C^*$-algebras such that for any element there exists a local unit and prove that in such algebras there are no frames. This fact was previously known only for commutative algebras. Among other results, we establish some necessary properties of frames in $C^*$-algebras (which are
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
- $K$-Theoretic Comparison of Roe and Quasi-Local Algebras via Projections#1083173
- Almost Trivial Units in Group Rings#1037243
- Geometric mean and Lebesgue-type decomposition of completely positive maps#819364
- Geometric mean and Lebesgue-type decomposition of completely positive maps#809371
- Picture groups and green sequences from the perspective of Ringel--Hall algebras#799207
Record · ID 1155036
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