Natural topologies on Colombeau algebras
Keywords
Colombeau algebra, generalized function, sharp topologiesAbstract
We define intrinsic, natural and metrizable topologies ${\mathcal T}_{\Omega}$, ${\mathcal T}$, ${\mathcal T}_{s,\Omega}$ and ${\mathcal T}_s$ in ${\mathcal G}(\Omega)$, $\OK$, ${\mathcal G}_s(\Omega)$ and $\OK_s$, respectively. The topology ${\mathcal T}_{\Omega}$ induces ${\mathcal T}$, ${\mathcal T}_{s,\Omega}$ and ${\mathcal T}_s$. The topologies ${\mathcal T}_{s,\Omega}$ and ${\mathcal T}_s$ coincide with the Scarpalezos sharp topologies.Downloads
Published
2009-09-01
How to Cite
1.
ARAGONA, Jorge, FERNANDEZ, Roseli and JURIAANS, Stanley O. Natural topologies on Colombeau algebras. Topological Methods in Nonlinear Analysis. Online. 1 September 2009. Vol. 36, no. 1, pp. 161 - 180. [Accessed 23 September 2024].
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