Abstract
In this short article we construct a counterexample, which gives a negative answer to an old question, formulated in several publications, on inverse-closedness of matrix subalgebras. We also present and prove several related results.
| Original language | English |
|---|---|
| Pages (from-to) | 1175-1180 |
| Number of pages | 6 |
| Journal | Operators and Matrices |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Dec 2014 |
Bibliographical note
Publisher Copyright:© 2014, Element D.O.O. All rights reserved.
Funding
2 IRAF is distributed by the National Optical Astronomy Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the National Science Foundation. We thank Vasant Kulkarni, John McFarland, and Dick Miller for discussions, Dan Harris and Alan Marscher for correspondence, and the anonymous referee for helpful suggestions. P. J. W. is grateful for support from RPE funds at Georgia State University and for continuing hospitality at the Department of Astrophysical Sciences at Princeton.
| Funders | Funder number |
|---|---|
| National Science Foundation | |
| Georgia State University |
Keywords
- Banach algebras
- Inverse-closed subalgebras of banach algebras