All Schatten spaces endowed with the Schur product are Q-algebras
| Authors |
|
|---|---|
| Publication date | 01-01-2012 |
| Journal | Journal of Functional Analysis |
| Volume | Issue number | 262 | 1 |
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Organisations |
|
| Abstract |
We prove that the Banach algebra formed by the space of compact operators on a Hilbert space endowed with the Schur product is a quotient of a uniform algebra (also known as a Q-algebra). Together with a similar result of Pérez-García for the trace class, this completes the answer to a long-standing question of Varopoulos. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.jfa.2011.09.001 |
| Other links | https://www.scopus.com/pages/publications/80955142615 |
| Permalink to this page | |