Questions concerning matrix algebras and invariance of spectrum
| dc.creator | Barnes, Bruce A. | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:03:35Z | |
| dc.date.available | 2026-07-07T05:03:35Z | |
| dc.description | Let $A$ and $B$ be unital Banach algebras with $A$ a subalgebra of $B$. Denote the algebra of all $n\times n$ matrices with entries from $A$ by $M_{n}(A)$. In this paper we prove some results concerning the open question: If $A$ is inverse closed in $B$, then is $M_{n}(A)$ inverse closed in $M_{n}(B)$? We also study related questions in the setting where $A$ is a symmetric Banach *-algebra. | |
| dc.description | 6 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0312121 | |
| dc.identifier | http://arxiv.org/abs/math/0312121 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 1, February 2003, pp. 71-76 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69482 | |
| dc.subject | Functional Analysis | |
| dc.title | Questions concerning matrix algebras and invariance of spectrum | |
| dc.type | text |