06-01-2026
The Center of Mathematics and Applications (NOVA Math), promote the Seminar of Analysis with the title: "Lower estimates for the norm and measures of noncompactness of Wiener-Hopf type operators". Eugene Shargorodsky (Department of Mathematics, King's College London) is the speaker.
Abstract: The talk is based on joint papers with Oleksiy Karlovych. We consider multidimensional generalisations of Wiener-Hopf operators and show that, under mild restrictions on the underlying Banach function space, their norm is estimated below by the L^infinity norm of the symbol, while their Kuratowski measure of noncompactness is estimated below by half that norm. Additionally, we show that for a classical Wiener-Hopf operator on a (separable) translation-invariant Banach function space over the half-line, its Hausdorff measure of noncompactness, its essential norm, and its norm are all equal.
14 January 2026 (Wednesday), from 15:30 to 16:30, Building Hangar II, Room 6.
