dc.contributor.author | Marcoux, Laurent | |
dc.contributor.author | Sourour, Ahmed Ramzi | |
dc.date.accessioned | 2024-01-31 16:27:55 (GMT) | |
dc.date.available | 2024-01-31 16:27:55 (GMT) | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://doi.org/10.7153/oam-2020-14-29 | |
dc.identifier.uri | http://hdl.handle.net/10012/20317 | |
dc.description.abstract | Let A and B be algebras and M be an A -B-bimodule. For A ∈ A , B ∈B, we
define the Sylvester-Rosenblum operator τA,B :M →M via τA,B(M) = AM+MB for all M ∈
M . We investigate the spectrum of τA,B in three settings, namely: (a) when A = B = Tn(F) ,
the set of upper-triangular matrices over an algebraically closed field F and M ⊆ Mn(F); (b)
when A = B =M is a unital triangular Banach algebra; and (c), when M = T (N ) is the
nest algebra associated to a nest N on a complex, separable Hilbert space and A = B =
CI+K (N ) consists of the unitization of the algebra of compact operators in T (N ) . | en |
dc.description.sponsorship | Research supported in part by NSERC (Canada). | en |
dc.language.iso | en | en |
dc.publisher | Ele-Math | en |
dc.relation.ispartofseries | Operators and Matrices;14(2) | |
dc.subject | Sylvester equation | en |
dc.subject | Sylvester-Rosemblum operator | en |
dc.subject | triangular algebra | en |
dc.subject | nest algebra | en |
dc.title | On the spectrum of the Sylvester-Rosenblum operator acting on triangular algebras | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Marcoux, L. W., & Sourour, A. R. (2020). On the spectrum of the sylvester-rosenblum operator acting on triangular algebras. Operators and Matrices, (2), 401–416. https://doi.org/10.7153/oam-2020-14-29 | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Pure Mathematics | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |