Homotonic Algebras
| dc.creator | Cwikel, Michael | |
| dc.creator | Goldberg, Moshe | |
| dc.date | 2009-04-19 | |
| dc.date.accessioned | 2026-07-07T13:05:51Z | |
| dc.date.available | 2026-07-07T13:05:51Z | |
| dc.description | An algebra $\mathcal{A}$ of real or complex valued functions defined on a set $\mathbf{T}$ shall be called \textit{homotonic} if $\mathcal{A}$ is closed under forming of absolute values, and for all $f$ and $g$ in $\mathcal{A}$, the product $f\times g$ satisfies $|f\times g|\le|f|\times|g|$. Our main purpose in this paper is two-fold: To show that the above definition is equivalent to an earlier definition of homotonicity, and to provide a simple inequality which characterizes sub-multiplicativity and strong stability for weighted sup norms on homotonic algebras. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0904.2897 | |
| dc.identifier | http://arxiv.org/abs/0904.2897 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227624 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 15A60; 16B99; 17A05; 17A15 | |
| dc.title | Homotonic Algebras | |
| dc.type | text |