2012-09-01
All Schatten spaces endowed with the Schur product are Q-algebras
Publication
Publication
Journal of Functional Analysis , Volume 262 - Issue 1 p. 1- 9
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.
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| Academic Press | |
| Journal of Functional Analysis | |
| Quantum Information Processing | |
| Organisation | Algorithms and Complexity |
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Briët, J., Buhrman, H., Lee, T., & Vidick, T. (2012). All Schatten spaces endowed with the Schur product are Q-algebras. Journal of Functional Analysis, 262(1), 1–9. |
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